Solving multi-step problems using non-linear equations in one variable

Solve the equation. Check for extraneous solutions.
15.  $\left(x-7\right)^{\frac{1}{2}}=\left(x+5\right)^{\frac{1}{4}}$  

• 4

• 11

• 4 and 11
  

• No Solution

• -20

• 76

• 72

• -52

What is the value of x in the equation (2x + 1)^1/3 + 3 = 6

• 1

• 13

• 4

• 16

• None

True or False: An extraneous solution makes the equation true.

• True

• False

Which equation is ready for you to square both sides?

Solve

• x= -9 and 5

• x= 0 and 5

• x= 5

• x= 0

• x= -9

Solve the equation. Remember to check for extraneous solutions.

 $8=\sqrt{8-7n}$  

•  $n=-8,\ -5$  

•  $n=-3$  

•  $n=-8,\ 3$  

•  $n=-8$  

Solve.

• no solution

• 6

• 3

• 4

• x = -6 and 1

• x = 6 and -1

• x = -1 and 7

• x = 1 and -7