What is the answer to 5(10-x)^{4/3}+2=407 ?

The answer to 5(10-x)^{4/3}+2=407 is x=-17,x=37

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5(10-x)^{4/3}+2=407

5 (10 - x)^{\frac{4}{3}} + 2 = 407

x = - 17, x = 37

Solution steps

5 (10 - x)^{\frac{4}{3}} + 2 = 407

Move

2

to the right side

5 (10 - x)^{\frac{4}{3}} = 405

Divide both sides by

5

(10 - x)^{\frac{4}{3}} = 81

Take both sides of the equation to the power of

3 : (10 - x)^{4} = 531441

(10 - x)^{4} = 531441

Solve

(10 - x)^{4} = 531441 : x = - 17, x = 37

x = - 17, x = 37

Verify Solutions:

x = - 17

True

, x = 37

True

The solutions are

x = - 17, x = 37

x - 1 + 1 = x

3 x = 3 x + 7 - 1

x - 6 x + 8 = 0

x + 3 - 8 x + 1 = - 1

x + 7 - 1 = x - 4

What is the answer to 5(10-x)^{4/3}+2=407 ?
The answer to 5(10-x)^{4/3}+2=407 is x=-17,x=37
Solve for x: 5(10-x)^{4/3}+2=407
The solution is x=-17,x=37