Solving quadratic with square roots review

When solving quadratics with square roots we must remember

• to get the equation equal to zero

• both the positive and negative root

• we cancel the square on the x by dividing by 2

Tags

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.4

solve:  $x^2=144$  

• 72

• 72 or -72

• 12

• 12 or -12

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

solve:  $x^2+6=31$  enter your answers separated by a comma

Tags

CCSS.HSA.REI.B.4

solve:  $3\left(x+4\right)^2-11=19$  

•  $-4+\sqrt{10}$  

•  $4\pm\sqrt{10}$  

•  $4+\sqrt{10}$  

•  $-4\pm\sqrt{10}$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

solve:  $x^2+28=12$  

•  $\sqrt{40}$  

•  $\pm\sqrt{40}$  

• no real solutions

• -16

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

Which of the following are steps to solve a quadratic equation by square roots. (check all that apply)

• Identify a, b, and c

• get the squared value by itself

• cancel the square by taking the square root of each side

• remember to include the positive and negative root

• set the equation equal to zero

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

Solve and round your answer(s) to the nearest hundredth:  $\left(x-3\right)^2+20=50$  (select all answers that apply)

• 33

• 8.48

• -27

• -2.48

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4