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When the function is graphed how many x intercepts does it have y2x2-8x plus 5?
To find the x-intercepts of the function ( y = 2x^2 - 8x + 5 ), we set ( y ) to zero and solve the equation ( 2x^2 - 8x + 5 = 0 ). Using the quadratic formula ( x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} ), where ( a = 2 ), ( b = -8 ), and ( c = 5 ), we can determine the number of x-intercepts. The discriminant ( b^2 - 4ac = (-8)^2 - 4(2)(5) = 64 - 40 = 24 ) is positive, indicating that there are two distinct x-intercepts. Thus, the function has 2 x-intercepts.
What does quadratic equations using the factoring method means?
It means you are required to "solve" a quadratic equation by factorising the quadratic equation into two binomial expressions. Solving means to find the value(s) of the variable for which the expression equals zero.
How do you convert standard form to factored form?
To convert a quadratic equation from standard form (ax^2 + bx + c) to factored form, you first need to find the roots of the equation by using the quadratic formula or factoring techniques. Once you have the roots, you can rewrite the equation as a product of linear factors, such as (x - r1)(x - r2), where r1 and r2 are the roots of the equation. This process allows you to express the quadratic equation in factored form, which can be useful for solving and graphing the equation.
How do you Factor x2 4x-2?
That doesn't factor neatly. Applying the quadratic formula, we find two real solutions: -2 plus or minus the square root of 6. x = 0.4494897427831779 x = -4.4494897427831779
How do you factor x2 1x-225?
That doesn't factor neatly. Applying the quadratic formula, we find two real solutions: (-1 plus or minus the square root of 901) divided by 2. x = 14.508331019803634 x = -15.508331019803634
How would you use intercepts to find the vertex in a quadratic equation with two x intercepts?
The vertex must be half way between the two x intercepts
What is the difference between quadratic formula and quadratic equation?
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.
How do you use a graphing calculator to solve quadratic equations?
Graph the equation then find the x intercepts.
What is the graph of a quadratic formula?
In general, quadratic equations have graphs that are parabolas. The quadratic formula tells us how to find the roots of a quadratic equations. If those roots are real, they are the x intercepts of the parabola.
How do you do the Quadratic formula?
The general form of a quadratic equation is ax^2+bx+c=0. The quadratic formula is used to find the x intercepts of a parabola. It goes like this: x=(-b+or-the (square root of b^2-4ac))/2a. With a specific equation you plug the values for a, b, and c into the formula. It is best to use a graphing calculator. Hope this helps.
Why do mathmaticians use the quadratic formula?
To find the roots (solutions) of a quadratic equation.
What does quadratic formula find?
When an equation cannot be solved for "x" to find the zeroes, the quadratic formula can be used instead for the same purpose.
How can you find the complex solutions of any quadratic equation?
I suggest you use the quadratic formula.
What must be true of an equation before you can use the quadratic formula to find the solutions?
the formula you are going to use to answer the equation
What is the quadratic formula used for today?
The quadratic formula is used today to find the solutions to quadratic equations, which are equations of the form ax^2 + bx + c = 0. By using the quadratic formula, we can determine the values of x that satisfy the quadratic equation and represent the points where the graph of the equation intersects the x-axis.
What is the quadriatic formula used for?
To find the solutions of x in a quadratic equation.
What statement must be true of an equation before you can use the quadratic formula to find the solutions?
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.
