What is the answer to x^2+8x+sqrt(x^2+8x)=12 ?

The answer to x^2+8x+sqrt(x^2+8x)=12 is x=1,x=-9

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x^2+8x+sqrt(x^2+8x)=12

x^{2} + 8 x + x^{2} + 8 x = 12

x = 1, x = - 9

Solution steps

x^{2} + 8 x + x^{2} + 8 x = 12

Remove square roots

x^{2} + 8 x = x^{4} + 16 x^{3} + 40 x^{2} - 192 x + 144

Solve

x^{2} + 8 x = x^{4} + 16 x^{3} + 40 x^{2} - 192 x + 144 : x = 1, x = - 9, x = 4 (2 - 1), x = - 4 (1 + 2)

x = 1, x = - 9, x = 4 (2 - 1), x = - 4 (1 + 2)

Verify Solutions:

x = 1

True

, x = - 9

True

, x = 4 (2 - 1)

False

, x = - 4 (1 + 2)

False

The solutions are

x = 1, x = - 9

x^{3} - x^{\frac{1}{3}} = 0

x - 4 x = 0

3 x - 11 + 5 = x

x = 2 x - 6

2 = 1.69 s + 4.45 - 3.49

What is the answer to x^2+8x+sqrt(x^2+8x)=12 ?
The answer to x^2+8x+sqrt(x^2+8x)=12 is x=1,x=-9
Solve for x: x^2+8x+sqrt(x^2+8x)=12
The solution is x=1,x=-9