Solve Quadratics All Methods

Use the graph of y=-x²+6x-5 to solve the equation -x²+6x-5=0

• {-1,5}

• {3,4}

• {1,5}

• {2,4}

Solve by factoring: x² - 9x + 20 = 0

• x = -4 and x = -5

• x = 20 and x = -9

• x = 4 and x = 5

• x = -4 and x = 5

Tags

CCSS.HSA-REI.B.4B

Solve by factoring: x² + 3x - 18 = 0

• x = -3 and x = 6

• x = 3 and x = -6

• x = -9 and x = 2

• x = 9 and x = -2

Tags

CCSS.HSA-REI.B.4B

2d² = 8

• 4

• -2

• -4, 4

• -2, 2

Tags

CCSS.8.EE.A.2

What is the solution for
x² - 5x + 6 = 0

• x = 2, x = 3

• x = -2, x = -3

• x = 1, x = 6

• x = -1, x = -6

Answer explanation

The correct solution is x = 2 and x = 3. Factoring the quadratic equation x^2 - 5x + 6 = 0 gives (x - 2)(x - 3) = 0, leading to x = 2 and x = 3.

Tags

CCSS.HSA-REI.B.4B

Match the following.

• By factoring

• Using square roots

• Solve using the Zero-Product Property

• By graphing

Tags

CCSS.HSA-REI.B.4B

Select the solutions to the equation

4x² + 11x + 7 = 0

• x = - 1.75

• x = 6

• x = - 1

• x = 1

Match the following methods to solve quadratic equations with the scenario it is best used in

• when there is no "bx" term

• COMPLETING THE SQUARE

• to check solutions

• SQUARE ROOTS

• when the equation is factorable

• GRAPHING

• when b is an even number if a=1

• FACTORING

• can be used in all cases

• QUADRATIC FORMULA

Tags

CCSS.HSA-REI.B.4B

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

Calculate the roots of the equation:
3x² + 12x + 9 = 0

• x = -1, x = -3

• x = -3, x = -3

• x = 1, x = 3

• x = 3, x = 1

Answer explanation

The roots of the equation can be found by factoring it as (3x + 3)(x + 3) = 0, which gives x = -3, x = -3 as the roots.

Tags

CCSS.HSA-REI.B.4B