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Answered 2012-07-10 06:25:53

The question contains an algebraic expression but, since there is no equality sign, there is no equation to solve.

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When you square each side of an equation is the resulting equation equivalent to the original?

No. The resulting equation has more solutions. For example, x = 2 has only one solution and that is x = 2.butx2= 4, the squared equation, has two solutions: x = +2 and x = -2No. The resulting equation has more solutions. For example, x = 2 has only one solution and that is x = 2.butx2= 4, the squared equation, has two solutions: x = +2 and x = -2No. The resulting equation has more solutions. For example, x = 2 has only one solution and that is x = 2.butx2= 4, the squared equation, has two solutions: x = +2 and x = -2No. The resulting equation has more solutions. For example, x = 2 has only one solution and that is x = 2.butx2= 4, the squared equation, has two solutions: x = +2 and x = -2



Is it possible for an equation to have many solutions and can an equation have no solutions?

Yes and yes. eg x = y + 1 has an infinite number of solutions, and {sin(x) + cos(x) = 2} does not have a solution.


What does one solution mean in math?

An equation may have zero, one, or more solutions (this is also true for a system of equations). The equation 2 + x = 5 has only solution, for example. x can only equal 3, so there is one solution. (An example of an equation with more that one solution is x2 = 4. In this case x can equal 2 or -2, so this equation has two solutions. An example of an equation with an infinite number of solutions is x + 6 = 3*2 + x. x can equal any number to make this equation true, so it has an infinite number of solutions. The equation x = x + 1 is an example of an equation with no solutions.)


What are the solutions for X squared minus 5x equals 6?

The solutions to the quadratic equation are: x = -1 and x = 6


How do you write a quadratic equation using only solutions 9 and 1?

Solutions: x = 9 and x = 1 Factored: (x-9(x-1) = 0 Equation: x2-10x+9 = 0


How you find the solution of a quadratic equation by graphing its quadratic equation?

When you graph the quadratic equation, you have three possibilities... 1. The graph touches x-axis once. Then that quadratic equation only has one solution and you find it by finding the x-intercept. 2. The graph touches x-axis twice. Then that quadratic equation has two solutions and you also find it by finding the x-intercept 3. The graph doesn't touch the x-axis at all. Then that quadratic equation has no solutions. If you really want to find the solutions, you'll have to go to imaginary solutions, where the solutions include negative square roots.


How many solutions does an equation have?

Equations can have many solutions. The equation of a straight line, for example, defines all points on the line. Even a simple equation such as x+y=5 can have a variety of solutions (x=1 when y=4, x=2 when y=3 and so on)


What are the solutions to the equation 3(x-4)(x 5)0?

Without an equality sign the given expression can't be considered to be an equation and so therefore there are no solutions.


What are 3 other names for solutions of a quadratic equation?

Roots, zeroes, and x values are 3 other names for solutions of a quadratic equation.


What is the relationship between the solutions to a quadratic equation and why does it vary?

If you have a quadratic equation of the formx^2 + bx + c = 0 and its solutions are x = p and x = qthen the relations between the solutions are:p + q = -b, andpq = cThese relations do not vary.


Write a quadratic equation with these numbers -7 and -4 as solutions?

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How do you identify 2 solutions to a linear equation?

A linear equation is that of a straight line. Any one of the infinitely many points on the line will be solutions. If the equation is in terms of the variables x and y, just pick any two values of x, solve for y and the results will be the coordinates of two solutions.


How many solutions does x 5 have?

None, because there is no equation in the question.


What is the quadriatic formula used for?

To find the solutions of x in a quadratic equation.


How many solutions does the equation X 2 plus 7X plus 12 have?

None because without an equal it is not an equation. But if it was in the form of x2+7x+12 = 0 then it would have 2 solutions which are x = -3 and x = -4


What lists all the integer solutions of the equation x equals 10?

The person or program that solves the equation does.


What does no solution in algebra mean?

An equation can have zero solutions, one solution, two solutions, or many solutions. A solution is any number that, when replaced into the equation, will give an equality. An example of an equation without a solution is x = x + 1. No matter what number you use for "x", the right part will always be one more than the left part. Therefore, the equation has no solution. (Also, if you subtract "x" from each side, you get the equation 0 = 1, which is obviously false.)


What is the solution of the equation x2 plus 8x equals 4?

It will have two solutions because its a quadratic equation: x = -8.472135955 or x = 0.472135955


In an algebraic equation when x is equal to -2.5 how many solutions does it have?

The answer depends on the equation which is not specified in the question.


Why is it necessary to check for extraneous solutions in radical equations?

1) When solving radical equations, it is often convenient to square both sides of the equation. 2) When doing this, extraneous solutions may be introduced - the new equation may have solutions that are not solutions of the original equation. Here is a simple example (without radicals): The equation x = 5 has exactly one solution (if you replace x with 5, the equation is true, for other values, it isn't). If you square both sides, you get: x2 = 25 which also has the solution x = 5. However, it also has the extraneous solution x = -5, which is not a solution to the original equation.


What are the solutions for the quadratic equation 8x x2 - 9?

If you mean: x2+8x-9 = 0 then the solutions are x = 1 and x = -9


Can an unknown variable have two values that satisfy an equation?

Yes; this is quite common for a quadratic equation. For example:x2 - 5x + 6 = 0has the two solutions 2, and 3.A cubic equation may have up to 3 solutions; a polynomial of degree "n" can have up to "n" solutions.A trigonometric equation usually has an infinite number of solutions, because the sine function (for example) is periodic.Example: sin x = 0, with solutions 0, pi, 2 x pi, 3 x pi, etc. (assuming angles are measured in radians, as is common in advanced mathematics).Yes; this is quite common for a quadratic equation. For example:x2 - 5x + 6 = 0has the two solutions 2, and 3.A cubic equation may have up to 3 solutions; a polynomial of degree "n" can have up to "n" solutions.A trigonometric equation usually has an infinite number of solutions, because the sine function (for example) is periodic.Example: sin x = 0, with solutions 0, pi, 2 x pi, 3 x pi, etc. (assuming angles are measured in radians, as is common in advanced mathematics).Yes; this is quite common for a quadratic equation. For example:x2 - 5x + 6 = 0has the two solutions 2, and 3.A cubic equation may have up to 3 solutions; a polynomial of degree "n" can have up to "n" solutions.A trigonometric equation usually has an infinite number of solutions, because the sine function (for example) is periodic.Example: sin x = 0, with solutions 0, pi, 2 x pi, 3 x pi, etc. (assuming angles are measured in radians, as is common in advanced mathematics).Yes; this is quite common for a quadratic equation. For example:x2 - 5x + 6 = 0has the two solutions 2, and 3.A cubic equation may have up to 3 solutions; a polynomial of degree "n" can have up to "n" solutions.A trigonometric equation usually has an infinite number of solutions, because the sine function (for example) is periodic.Example: sin x = 0, with solutions 0, pi, 2 x pi, 3 x pi, etc. (assuming angles are measured in radians, as is common in advanced mathematics).


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