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

The answer to sqrt(x^2+8x)+6=x^2+8x is x=1,x=-9

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sqrt(x^2+8x)+6=x^2+8x

x^{2} + 8 x + 6 = x^{2} + 8 x

x = 1, x = - 9

Solution steps

x^{2} + 8 x + 6 = x^{2} + 8 x

Remove square roots

x^{2} + 8 x = x^{4} + 16 x^{3} + 52 x^{2} - 96 x + 36

Solve

x^{2} + 8 x = x^{4} + 16 x^{3} + 52 x^{2} - 96 x + 36 : x = 1, x = - 9, x = 2 (5 - 2), x = - 2 (2 + 5)

x = 1, x = - 9, x = 2 (5 - 2), x = - 2 (2 + 5)

Verify Solutions:

x = 1

True

, x = - 9

True

, x = 2 (5 - 2)

False

, x = - 2 (2 + 5)

False

The solutions are

x = 1, x = - 9

x + 3 - 2 x + 6 = 0

2 x + 10 = x + 1

2 x + 1 - x + 4 = 1

x, z = x + y^{2}

3 x + 6 = 10 x + 24

What is the answer to sqrt(x^2+8x)+6=x^2+8x ?
The answer to sqrt(x^2+8x)+6=x^2+8x is x=1,x=-9
Solve for x: sqrt(x^2+8x)+6=x^2+8x
The solution is x=1,x=-9