What is the answer to \sqrt[3]{x-5}=x-5 ?

The answer to \sqrt[3]{x-5}=x-5 is x=4,x=5,x=6

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\sqrt[3]{x-5}=x-5

x = 4, x = 5, x = 6

Solution steps

Take both sides of the equation to the power of

3 : x - 5 = x^{3} - 15 x^{2} + 75 x - 125

x - 5 = x^{3} - 15 x^{2} + 75 x - 125

Solve

x - 5 = x^{3} - 15 x^{2} + 75 x - 125 : x = 4, x = 5, x = 6

x = 4, x = 5, x = 6

Verify Solutions:

x = 4

True

, x = 5

True

, x = 6

True

The solutions are

x = 4, x = 5, x = 6

x = 4 x + 21

x - 5 - 4 x = 0

x - 16 - x + 8 + 4 = 0

2 + x - 7 = x + 44

What is the answer to \sqrt[3]{x-5}=x-5 ?
The answer to \sqrt[3]{x-5}=x-5 is x=4,x=5,x=6
Solve for x: \sqrt[3]{x-5}=x-5
The solution is x=4,x=5,x=6