What is the answer to (x+28)^{1/3}-(x-28)^{1/3}=2 ?

The answer to (x+28)^{1/3}-(x-28)^{1/3}=2 is x=36,x=-36

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(x+28)^{1/3}-(x-28)^{1/3}=2

(x + 28)^{\frac{1}{3}} - (x - 28)^{\frac{1}{3}} = 2

x = 36, x = - 36

Solution steps

(x + 28)^{\frac{1}{3}} - (x - 28)^{\frac{1}{3}} = 2

Rewrite the equation with

(x + 28)^{\frac{1}{3}} = u

and

x = u^{3} - 28

u - ((u^{3} - 28) - 28)^{\frac{1}{3}} = 2

Solve

u - ((u^{3} - 28) - 28)^{\frac{1}{3}} = 2 : u = 4, u = - 2

u = 4, u = - 2

Substitute back

u = (x + 28)^{\frac{1}{3}},

solve for

x

Solve

(x + 28)^{\frac{1}{3}} = 4 : x = 36

Solve

(x + 28)^{\frac{1}{3}} = - 2 : x = - 36

x = 36, x = - 36

Verify Solutions:

x = 36

True

, x = - 36

True

The solutions are

x = 36, x = - 36

x^{2} = 3

x^{2} = 7

r, x^{2} (r^{2} - x^{2})^{0.5} = 1

x^{2} + 4 x = x^{2} + 4 x

2 x - 3 + 2 x + 4 = 6 x + 13

What is the answer to (x+28)^{1/3}-(x-28)^{1/3}=2 ?
The answer to (x+28)^{1/3}-(x-28)^{1/3}=2 is x=36,x=-36
Solve for x: (x+28)^{1/3}-(x-28)^{1/3}=2
The solution is x=36,x=-36