Solving Quadratics - Factoring & Square Root Method

3x² = 12

• ± 2
• 2
• ± √12
• ± 4

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

x² + 4 = 68

• ± 8
• ± √8
• 8
• ± 64

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

(x + 1) ² = 25

• ± 5
• 4  or  -6
• -4  or  6
• ± 4

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

x² + 1 = 9

• ± √8
• ± 4
• ± 8
• ± 3

Tags

CCSS.HSA.REI.B.4

(x - 2) ² = 49

• 9  or  -5
• ± 9
• ± 5
• ± 7

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

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

• b = 9, b = -9
• b = 3, b = -3
• b = 8, b = -8
• no solution

Tags

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.4

When taking the square root of a number you will need to consider what two cases?

• The solutions with even case and the odd case

• The solutions with positive sign and the negative sign

• The perfect square case and the non-perfect square case

Solve a² - 24 = -2a

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

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

What should you do first in solving this equation?
x² + 6x - 13 = 3

• Get factored form
• Write down: a=1, b=6, c=-13
• Make it equal 0 by subtracting 3 on each side
• Type it all in a calculator.

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

solve:  
4x²+16x+15=0

• -5/2,-3/2
• (2x+5)(2x+3)
• -10,-6
• 5/2, 3/2

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4