Solving Quadratics with Square Root

Pick which equation I can use square roots to solve:

• 3x² + 2x + 1 = 0

• 3x² -27 = 0

• 3x² + 2x = 1

• 4x + 10 = 0

Tags

CCSS.HSA-REI.B.4B

2x² + 1 = 163

• + 81, -81

• +162, -162

• +9, -9

• no solution

Tags

CCSS.8.EE.A.2

Solve

2y² - 5 = 93

Be careful, work from the outside in, get the squared term by itself, THEN take the square root.

• y = 7

• y = ±7

• y = 24.5

• y = ±24.5

Tags

CCSS.8.EE.A.2

Solve by taking square roots: 5b² + 4 = -41

Hint: what do you do when you have a NEGATIVE square root?

• b = 9i, b = -9i

• b = 3i, b = -3i

• b = 9, b = -9

• b= 3, b= -3

Tags

CCSS.HSA-REI.B.4B

(x + 1) ² = 25

Remember to add the ± as soon as you take the square root of both sides, THEN move the one over to get x by itself.

• ± 5

• 4  or  -6

• -4  or  6

• ± 4

Tags

CCSS.HSA-REI.B.4B

Use the square root property to solve the Quadratic Equation.
2(x - 4)² = 200

• x=±10

• x=-14 and x=6

• x=-6 and x=14

• x=100

Tags

CCSS.HSA-REI.B.4B

Solve

2x² +11= -9

• ±3i

• ±i√10

• √10

• ±2i√5

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

 x² - 81 = 0

• x = 11, -11

• x =±9

• x = 7, -7

• x=±9i

Tags

CCSS.HSA-REI.B.4B

x² = -29

• ±√29

• √29

• ±i√29

• -√29

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

x² +4 = -77

• 9

• -9i

• ±9i

• ±9

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7