Solve Quadratics by All Methods

4x²+7x-17=3x²+12x-3 Solve by Factoring.

• x= -7, -2

• x= 7, -2

• x= -7, 2

Solve by completing the square. Show your work on the notebook paper k² − 12k + 23 = 0

• {6 + √13, 6 - √13}

• {-6 + √13, -6 - √13}

• {6 + √59, 6 - √59}

• {-6 + √59, -6 - √59}

Solve by Square Roots. 16a² - 9 = 0

• a = ^-3/₄, ³/₄

• a = ^-4/₃, ⁴/₃

• a = ^-9/₁₆, ⁹/₁₆

• a = ^-16/₉, ¹⁶/₉

Solve by factoring: 7x² - 26x - 8 = 0

• x = -1 and x = -7/8

• x = 4 and x = -2/7

• x = -4 and x = 2/7

• x = 4 and x = -7/2

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.

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

Solve using the Quadratic Formula:

x² + 4x + 3 = 0

• x = 1 and x = 3

• x = 6 and x = -2

• x = -1 and x = -3

• x=-1 and x=3

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.

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

• No Real Solution

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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.