Solving Radical and Rational Exponent Equations

Solve for x:

 $\ x^{\frac{3}{2}}=125$  

• x = 25

• x = -25

• x = 5

• x = -5

Tags

CCSS.HSA.REI.A.2

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Solve for x:

 $26=-1+\left(27x\right)^{\frac{3}{4}}$  

• x = 27

• x = -3

• x = 81

• x = 3

Tags

CCSS.HSA.REI.A.2

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Solve for x:

 $-6\ =\ 10-\left(x-10\right)^{\frac{4}{3}}$  

• x = 2

• x = 18

• x = 2 and x = 18

• x = -2 and x = -18

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

Solve for x:

 $\sqrt{2x-4}=\sqrt{x}$  

• x = 4

• x = -4

• x = 2

• x = -2

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

Solve for x:
 $-2\ =\ -5+\sqrt{x+7}$  

•  x = 2

• x = -2

• x = 4

• x = -4

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.2

Solve for x:
 $\sqrt{x-6}=\sqrt{36-2x}$  

• x = 14

• x = -14

• x = 6

• x = -6

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

 $4+\sqrt{\frac{x}{9}}=5$  

Solve for x:

• x = -9

• x = 9

• x = 21

• x = -21

Tags

CCSS.HSA.REI.A.2

 $x\ =\ \sqrt{12-x}$  

Solve for x:

• x = -3

• x = 0

• x = 2

• x = 3

Tags

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.4

 $\sqrt{63-7x}-x=-9$  

Solve for x:

• x = 9

• x = 2

• x = 7

• x = 9, x = 2

Tags

CCSS.HSA.REI.A.2

Solve for x:

• x = 1, x = 2

• x = 1, x = -1

• x = 1, x = 2, x = -2

• x = 2

Tags

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.4