Solving Quadratic Equations Where A Not Equal To 1

Solve using the Quadratic Formula:

2x² − x − 3 = 0

What is the discriminate of the Quadratic Formula?

What is the first step in solving 
(x + 2)(x - 3) = 0      ?

• Plug in zero for x

• Solve for x

• FOIL

• Set each binomial factor equal to zero

Convert x² - 9x + 20 to factored form and solve.

• (x-10)(x+2); x = -2, 10

• (x+4)(x+5); x = -5, -4

• (x-4)(x-5); x = 4, 5

• Not factorable

Select the solutions to the equation

4x² + 11x + 7 = 0

• x = - 1.75

• x = 6

• x = - 1

• x = 1

The quadratic function y = -2x² + 4x + 6 is pictured. What are the solutions to the equation 7.5 = -2x² + 4x + 6?

• x = 0.5

• x = 1.5

• x = 1

• x = 8

• x = 6

Determine the values of
a, b, and c for
the quadratic equation: 
4x² – 8x = 3

• a = 4, b = -8, c = 3

• a = 4, b =-8, c =-3

• a = 4, b = 8, c = 3

• a = 4, b = 8, c = -3

Which one refers to a polynomial equation in the form ax² + bx + c = 0 where a, b, c are real numbers and a ≠ 0?

• Quadratic Equation

• Quadratic Polynomial

• Quadratic Inequalities

• Linear Equation

b²-4ac is called

• discrimination

• determinant

• discriminant

• none of these

Solve Using the Quadratic Formula
 x² + 4x - 40 = -8

• -10 & -4

• -4 & 10

• -8 & 4

• 8 & -4