To solve a quadratic equation using factoring, follow these steps:
A quadratic equation.
A quadratic equation
By knowing how to use the quadratic equation formula.
The discriminant
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The solution to a math problem involving a quadratic equation is the values of the variable that make the equation true, typically found using the quadratic formula or factoring.
You'll typically use it when solving a quadratic equation - when factoring isn't obvious.
Start with a quadratic equation in the form � � 2 � � � = 0 ax 2 +bx+c=0, where � a, � b, and � c are constants, and � a is not equal to zero ( � ≠ 0 a =0).
When the equation is a polynomial whose highest order (power) is 2. Eg. y= x2 + 2x + 10. Then you can use quadratic formula to solve if factoring is not possible.
The quadratic formula, given by ( x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} ), provides the solutions to a quadratic equation ( ax^2 + bx + c = 0 ). While factoring involves rewriting the quadratic expression as a product of its linear factors, the quadratic formula can be used to find the roots when factoring is difficult or impossible. If the quadratic can be factored, the roots obtained from the quadratic formula will correspond to those factors. Thus, both methods are interconnected ways to solve for the values of ( x ) that satisfy the equation.
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.
y=b+x+x^2 This is a quadratic equation. The graph is a parabola. The quadratic equation formula or factoring can be used to solve this.