What is the answer to x^2+6x=36-5sqrt(x^2+6x) ?

The answer to x^2+6x=36-5sqrt(x^2+6x) is x=2,x=-8

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x^2+6x=36-5sqrt(x^2+6x)

x^{2} + 6 x = 36 - 5 x^{2} + 6 x

x = 2, x = - 8

Solution steps

x^{2} + 6 x = 36 - 5 x^{2} + 6 x

Remove square roots

x^{4} + 12 x^{3} - 36 x^{2} - 432 x + 1296 = 25 x^{2} + 150 x

Solve

x^{4} + 12 x^{3} - 36 x^{2} - 432 x + 1296 = 25 x^{2} + 150 x : x = 2, x = - 8, x = 3 (10 - 1), x = - 3 (1 + 10)

x = 2, x = - 8, x = 3 (10 - 1), x = - 3 (1 + 10)

Verify Solutions:

x = 2

True

, x = - 8

True

, x = 3 (10 - 1)

False

, x = - 3 (1 + 10)

False

The solutions are

x = 2, x = - 8

x + 7 - 1 = x

z - 1 - z + z = 1

x - 1 = x - 1

110 - x^{- 1} = x^{\frac{- 1}{2}}

x = 14

What is the answer to x^2+6x=36-5sqrt(x^2+6x) ?
The answer to x^2+6x=36-5sqrt(x^2+6x) is x=2,x=-8
Solve for x: x^2+6x=36-5sqrt(x^2+6x)
The solution is x=2,x=-8