What is the answer to sqrt(x)-sqrt(x-8)=sqrt(x-5) ?

The answer to sqrt(x)-sqrt(x-8)=sqrt(x-5) is x=9

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sqrt(x)-sqrt(x-8)=sqrt(x-5)

x - x - 8 = x - 5

x = 9

Solution steps

x - x - 8 = x - 5

Remove square roots

4 x^{2} - 32 x = x^{2} - 6 x + 9

Solve

4 x^{2} - 32 x = x^{2} - 6 x + 9 : x = - \frac{1}{3}, x = 9

x = - \frac{1}{3}, x = 9

Verify Solutions:

x = - \frac{1}{3}

False

, x = 9

True

The solution is

x = 9

3 8 x - 3 x - 2 = 10

x - 2 = x + 2

(x - 5)^{\frac{5}{2}} = 243

\frac{c ^{2} - 32}{4} = 2

x + 2 - 2 (x + 3) = 0

What is the answer to sqrt(x)-sqrt(x-8)=sqrt(x-5) ?
The answer to sqrt(x)-sqrt(x-8)=sqrt(x-5) is x=9
Solve for x: sqrt(x)-sqrt(x-8)=sqrt(x-5)
The solution is x=9