What is the answer to x^2+18=8x+6sqrt(x^2-8x+9) ?

The answer to x^2+18=8x+6sqrt(x^2-8x+9) is x=0,x=8

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x^2+18=8x+6sqrt(x^2-8x+9)

x^{2} + 18 = 8 x + 6 x^{2} - 8 x + 9

x = 0, x = 8

Solution steps

x^{2} + 18 = 8 x + 6 x^{2} - 8 x + 9

Remove square roots

x^{4} - 16 x^{3} + 100 x^{2} - 288 x + 324 = 36 x^{2} - 288 x + 324

Solve

x^{4} - 16 x^{3} + 100 x^{2} - 288 x + 324 = 36 x^{2} - 288 x + 324 : x = 0, x = 8

x = 0, x = 8

Verify Solutions:

x = 0

True

, x = 8

True

The solutions are

x = 0, x = 8

x^{\frac{1}{3}} = 4

x, 3 2 x - 5 y = 16

\frac{( x - 1 )}{( x + 1 )} = 1

x + 1 = x - 1

(x + 1 + 1) (5 - x) = 2 x

What is the answer to x^2+18=8x+6sqrt(x^2-8x+9) ?
The answer to x^2+18=8x+6sqrt(x^2-8x+9) is x=0,x=8
Solve for x: x^2+18=8x+6sqrt(x^2-8x+9)
The solution is x=0,x=8