What is the answer to x+sqrt(x-8)=12 ?

The answer to x+sqrt(x-8)=12 is x=(25-sqrt(17))/2

Solve for x: x+sqrt(x-8)=12

The solution is x=(25-sqrt(17))/2

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x + x - 8 = 12

x = \frac{25 - 17}{2}

Decimal Notation

x = 10.43844 \dots

Solution steps

x + x - 8 = 12

Remove square roots

x - 8 = 144 - 24 x + x^{2}

Solve

x - 8 = 144 - 24 x + x^{2} : x = \frac{25 + 17}{2}, x = \frac{25 - 17}{2}

x = \frac{25 + 17}{2}, x = \frac{25 - 17}{2}

Verify Solutions:

x = \frac{25 + 17}{2}

False

, x = \frac{25 - 17}{2}

True

The solution is

x = \frac{25 - 17}{2}

9 + x - 5 = \frac{2 x + 1}{3}

x + 5 = 12

4 x - 7 - 3 = - 2

7 x + 1 = 2 x + 4

\frac{2 x - 2}{x - 5} = 1

What is the answer to x+sqrt(x-8)=12 ?
The answer to x+sqrt(x-8)=12 is x=(25-sqrt(17))/2
Solve for x: x+sqrt(x-8)=12
The solution is x=(25-sqrt(17))/2