I suggest you use the quadratic formula.
The quadratic formula can be used to find the solutions of a quadratic equation - not a linear or cubic, or non-polynomial equation. The quadratic formula will always provide the solutions to a quadratic equation - whether the solutions are rational, real or complex numbers.
That the discriminant of the quadratic equation must be greater or equal to zero for it to have solutions. If the discriminant is less than zero then the quadratic equation will have no solutions.
To find the roots (solutions) of a quadratic equation.
If the discriminant of the quadratic equation is equal or greater than zero it will have 2 solutions if it is less than zero then there are no solutions.
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.
No, the quadratic equation, is mainly used in math to find solutions to quadratic expressions. It is not related to science in any way.
There are an infinite number of different quadratic equations. The quadratic formula is a single formula that can be used to find the pair of solutions to every quadratic equation.
To find the solutions of x in a quadratic equation.
Factoring by the AC method, difference of squares, perfect square trinomial. If not factorable by those ways, you can use the quadratic formula. You can also find zeros by synthetic division. If there are not any real solutions, then the solutions are said to be complex, they do not cross the x axis.
Draw the graph of the equation. the solution is/are the points where the line cuts the x(horisontal) axis .
On the x axis when y equals 0
the formula you are going to use to answer the equation
Use the quadratic equation formula to find the solutions to this equation.
Plug 'a', 'b', and 'c' from the equation into the formula. When you do that, the formula becomes a pair of numbers ... one number when you pick the 'plus' sign, and another number when you pick the 'minus' sign. Those two numbers are the 'solutions' to the quadratic equation you started with.
Write an algorithm to find the root of quadratic equation
With difficulty because the discriminant of the quadratic equation is less than zero meaning it has no solutions
That depends what language you use. But basically, you need to write commands to:Tell the user what it is all aboutAsk for the coefficients a, b, and c, for the equation ax2 + bx + c = 0Check whether the discriminant (the expression b2 - 4ac) is positive, negative, or zeroDepending on the result, use the quadratic formula to show the two real solutions, the single real solution, or the two complex solutions. If you are only interested in real solutions, in the latter case state that there are no real solutions.
You substitute the value of the variable into the quadratic equation and evaluate the expression.
The quadratic formula is famous mainly because it allows you to find the root of any quadratic polynomial, whether the roots are real or complex. The quadratic formula has widespread applications in different fields of math, as well as physics.
Yes, if you have an equation az^2 + bz + c = 0 where a, b, and c are complex numbers, you can use the quadratic formula to find the (usually two) possible complex values for z. However, they will usually not be conjugates of each other.
The X-Intercepts are the solutions. If you have an algebra calculator, you can usually find them by going to CALC>Zero>enter the left and right boundaries for each side.
If the solutions are p and q, then the quadratic is (x-p)(x-q) = 0 or x2 - (p+q)x + pq = 0 Hope this is what the question meant!
The determinant.The determinant is the part under the square root of the quadratic equation and is:b2-4ac where your quadratic is of the form: ax2+bx+cIf the determinant is less than zero then you have 'no real solutions' (as the square root of a negative number is imaginary.)If the determinant is = 0, then you have one real solution (because you can discount the square root of the quadratic equation)If the determinant is greater than zero you have two real solutions as you have (-b PLUS OR MINUS the square root of the determinant) all over 2aTo find the solutions where they exist you'll need to solve the quadratic formula or use another method.
If the discriminant of the quadratic equation is less than zero then it has no real solutions
The equation must be written such that the right side is equal to zero. And the resulting equation must be a polynomial of degree 2.