Solving Quadratics All Methods

Solve
x² + 2x - 24 = 0

• x = -6, x = 4
• x = 6, x = -4
• x = 12, x = -2
• x = 8, x = -3

Tags

CCSS.HSA.REI.B.4

What is the first step to solving THIS equation by completing the square?
a² + 10a + 21 = 0

• Set the equation equal to zero
• Divide 10 by 2 and add the result to both sides
• Add a² and 10a together
• Subtract the 21

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

Decide on the best method:
2x² - 7x + 2 = 0

• Square Root Method
• Factor Method
• Complete the Square
• Quadratic Formula

Tags

CCSS.HSA.REI.B.4

Solve x^2 - 3x - 4 = 0 using the quadratic formula.

•  x = 4 and -1
• x = -4 and -1
• x = 4 and 1
• x = -4 and 1

Tags

CCSS.HSA-REI.B.4B

• -2, 4
• -8
• ±8
• No real solution

Tags

CCSS.HSA-REI.B.4B

• -4, 2
• -2, 4
• -16
• -4

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

Solve the following equation by completing the square:
n² - 2n - 3 = 0

• {3 and-1}
• {4 and -4}
• {5 and -3}
• {8 and -7}

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Solve by completing the square:
k² − 12k + 23 = 0

• {6 + √13, 6 - √13}
• {-6 + √13, -6 - √13}
• {6 + √59, 6 - √59}
• {-6 + √59, -6 - √59}

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

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

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Solve the following quadratics equation by completing the square...

x² + 4x + 1 = 0

• x = -2 ± √3

• x = -3 ± √2

• x = 2 ± √3

• x = 2 ± √2

Tags

CCSS.HSA-REI.B.4B