What is the answer to (x)=sqrt(15x-2x^2-x^3) ?

The answer to (x)=sqrt(15x-2x^2-x^3) is x=0,x=(-3+sqrt(69))/2

Solve for x: (x)=sqrt(15x-2x^2-x^3)

The solution is x=0,x=(-3+sqrt(69))/2

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(x) = 15 x - 2 x^{2} - x^{3}

x = 0, x = \frac{- 3 + 69}{2}

Solution steps

(x) = 15 x - 2 x^{2} - x^{3}

Square both sides:

x^{2} = 15 x - 2 x^{2} - x^{3}

x^{2} = 15 x - 2 x^{2} - x^{3}

Solve

x^{2} = 15 x - 2 x^{2} - x^{3} : x = 0, x = \frac{- 3 + 69}{2}, x = \frac{- 3 - 69}{2}

x = 0, x = \frac{- 3 + 69}{2}, x = \frac{- 3 - 69}{2}

Verify Solutions:

x = 0

True

, x = \frac{- 3 + 69}{2}

True

, x = \frac{- 3 - 69}{2}

False

The solutions are

x = 0, x = \frac{- 3 + 69}{2}

x^{2} + 33 - x = 3

2 - 2 x = 4 + x

x^{2} - x - 7 = x + 5

x + 5 = 6

x - 5 = x - 9

What is the answer to (x)=sqrt(15x-2x^2-x^3) ?
The answer to (x)=sqrt(15x-2x^2-x^3) is x=0,x=(-3+sqrt(69))/2
Solve for x: (x)=sqrt(15x-2x^2-x^3)
The solution is x=0,x=(-3+sqrt(69))/2