Solving Quadratics using Square Roots

Solve for x:

36x² = 9

• ± 1/4

• ± 9/36

• ± 1/2

• No real solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

Solve for x:

x² + 7 = 88

• ±81

• ±9

• ±3

• No real solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

x² - 15 = 0

• {15, -15}
• {3.87, -3.87}
• {7.5, -7.5}
• No Solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

If the graph of a quadratic does not intercept the x-axis at any point, then it has:

• 1 Real Solution
• 2 Real Solutions
• Half a Solution
• No Real Solution

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

Solve
16a² - 9 = 0

• a = ^-3/₄, ³/₄ 
• a = ^-4/₃, ⁴/₃ 
• a = ^-9/₁₆, ⁹/₁₆ 
• a = ^-16/₉, ¹⁶/₉ 

Tags

CCSS.HSA.REI.B.4

Solve by taking square roots:
5m² + 1 = 6

• m = 0
• m = 1 or -1
• m = √7
• m = 7/5 m = -7/5

Tags

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.4

Solve for x
x² - 3 = 78

• -9,9
• 9
• -9
• -√75, √75

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

Solve for x: 
(x+6)²=49

• x=7,12
• x=±7
• x=1,-13
• x=43,-55

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

Solve for x:

x² = 49

• {49,-49}

• {8,-8}

• {7,-7}

• No Solution

Tags

CCSS.HSA.REI.B.4

Solve for x:

x² = -166

• {12.88,-12.88}

• {13.22,-13.22}

• {16}

• No Solution

Tags

CCSS.HSA.REI.B.4

CCSS.HSN.CN.A.1

CCSS.HSN.CN.C.9