What is the answer to 5(x-3)^{2/3}=80 ?

The answer to 5(x-3)^{2/3}=80 is x=67,x=-61

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5(x-3)^{2/3}=80

5 (x - 3)^{\frac{2}{3}} = 80

x = 67, x = - 61

Solution steps

5 (x - 3)^{\frac{2}{3}} = 80

Divide both sides by

5

(x - 3)^{\frac{2}{3}} = 16

Take both sides of the equation to the power of

3 : (x - 3)^{2} = 4096

(x - 3)^{2} = 4096

Solve

(x - 3)^{2} = 4096 : x = 67, x = - 61

x = 67, x = - 61

Verify Solutions:

x = 67

True

, x = - 61

True

The solutions are

x = 67, x = - 61

4 x - 5 = 7

x + 2 = x + 2

8 - 7 x = x - 2

5 x - 26 + 17 = 20

3 \cdot 2 x + 1 - 4 = 2

What is the answer to 5(x-3)^{2/3}=80 ?
The answer to 5(x-3)^{2/3}=80 is x=67,x=-61
Solve for x: 5(x-3)^{2/3}=80
The solution is x=67,x=-61