What is the answer to (x-4)-5(x-4)^{1/2}=6 ?

The answer to (x-4)-5(x-4)^{1/2}=6 is x=40

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(x-4)-5(x-4)^{1/2}=6

(x - 4) - 5 (x - 4)^{\frac{1}{2}} = 6

x = 40

Solution steps

(x - 4) - 5 (x - 4)^{\frac{1}{2}} = 6

Remove square roots

25 x - 100 = x^{2} - 20 x + 100

Solve

25 x - 100 = x^{2} - 20 x + 100 : x = 40, x = 5

x = 40, x = 5

Verify Solutions:

x = 40

True

, x = 5

False

The solution is

x = 40

5 x + 1 = x + 1

5 x + 1 = x - 4

7 - 2 x = x - 2

x - 3 x - 11 = 5

4 x + 17 = x - 1

What is the answer to (x-4)-5(x-4)^{1/2}=6 ?
The answer to (x-4)-5(x-4)^{1/2}=6 is x=40
Solve for x: (x-4)-5(x-4)^{1/2}=6
The solution is x=40