What is the answer to 6+(2x-7)^{2/3}=31 ?

The answer to 6+(2x-7)^{2/3}=31 is x=66,x=-59

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6+(2x-7)^{2/3}=31

6 + (2 x - 7)^{\frac{2}{3}} = 31

x = 66, x = - 59

Solution steps

6 + (2 x - 7)^{\frac{2}{3}} = 31

Move

6

to the right side

(2 x - 7)^{\frac{2}{3}} = 25

Take both sides of the equation to the power of

3 : (2 x - 7)^{2} = 15625

(2 x - 7)^{2} = 15625

Solve

(2 x - 7)^{2} = 15625 : x = 66, x = - 59

x = 66, x = - 59

Verify Solutions:

x = 66

True

, x = - 59

True

The solutions are

x = 66, x = - 59

x, x^{2} + 9 = 0

7 - m = 5 + m

x^{- \frac{2}{3}} = \frac{3}{4}

5 x + 4 = 0

4 = 2 x - 3

What is the answer to 6+(2x-7)^{2/3}=31 ?
The answer to 6+(2x-7)^{2/3}=31 is x=66,x=-59
Solve for x: 6+(2x-7)^{2/3}=31
The solution is x=66,x=-59