What is the answer to x-sqrt(x^2-12)=sqrt(x) ?

The answer to x-sqrt(x^2-12)=sqrt(x) is x=4

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x-sqrt(x^2-12)=sqrt(x)

x - x^{2} - 12 = x

x = 4

Solution steps

x - x^{2} - 12 = x

Remove square roots

4 x^{4} - 48 x^{2} = - 4 x^{3} + 4 x^{4} - 47 x^{2} + 24 x + 144

Solve

4 x^{4} - 48 x^{2} = - 4 x^{3} + 4 x^{4} - 47 x^{2} + 24 x + 144 : x = 4

x = 4

Verify Solutions:

x = 4

True

The solution is

x = 4

x - \frac{2}{x + 1} = 0

4 x - 7 + 12 = 28

5 x + 1 = 3

x + 2 = x + 12

a^{2} - y^{2}

What is the answer to x-sqrt(x^2-12)=sqrt(x) ?
The answer to x-sqrt(x^2-12)=sqrt(x) is x=4
Solve for x: x-sqrt(x^2-12)=sqrt(x)
The solution is x=4