What is the answer to x^2+15x+2sqrt(x^2+15x)=24 ?

The answer to x^2+15x+2sqrt(x^2+15x)=24 is x=1,x=-16

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x^2+15x+2sqrt(x^2+15x)=24

x^{2} + 15 x + 2 x^{2} + 15 x = 24

x = 1, x = - 16

Solution steps

x^{2} + 15 x + 2 x^{2} + 15 x = 24

Remove square roots

4 x^{2} + 60 x = x^{4} + 30 x^{3} + 177 x^{2} - 720 x + 576

Solve

4 x^{2} + 60 x = x^{4} + 30 x^{3} + 177 x^{2} - 720 x + 576 : x = 1, x = - 16, x = \frac{- 15 + 3 41}{2}, x = \frac{- 15 - 3 41}{2}

x = 1, x = - 16, x = \frac{- 15 + 3 41}{2}, x = \frac{- 15 - 3 41}{2}

Verify Solutions:

x = 1

True

, x = - 16

True

, x = \frac{- 15 + 3 41}{2}

False

, x = \frac{- 15 - 3 41}{2}

False

The solutions are

x = 1, x = - 16

2 b + 5 = 11 - b

2 x - 6 - 1 = x - 8

2 x + 4 = x + 1

3 x - 4 = 2 x^{2} - 3 x + 2

- 3 + 15 x + 10 = 7

What is the answer to x^2+15x+2sqrt(x^2+15x)=24 ?
The answer to x^2+15x+2sqrt(x^2+15x)=24 is x=1,x=-16
Solve for x: x^2+15x+2sqrt(x^2+15x)=24
The solution is x=1,x=-16