What is the answer to x^2-17x-16sqrt(x)=0 ?

The answer to x^2-17x-16sqrt(x)=0 is x=0,x=(33+sqrt(65))/2

Solve for x: x^2-17x-16sqrt(x)=0

The solution is x=0,x=(33+sqrt(65))/2

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x^{2} - 17 x - 16 x = 0

x = 0, x = \frac{33 + 65}{2}

Decimal Notation

x = 0, x = 20.53112 \dots

Solution steps

x^{2} - 17 x - 16 x = 0

Remove square roots

256 x = x^{4} - 34 x^{3} + 289 x^{2}

Solve

256 x = x^{4} - 34 x^{3} + 289 x^{2} : x = 0, x = 1, x = \frac{33 + 65}{2}, x = \frac{33 - 65}{2}

x = 0, x = 1, x = \frac{33 + 65}{2}, x = \frac{33 - 65}{2}

Verify Solutions:

x = 0

True

, x = 1

False

, x = \frac{33 + 65}{2}

True

, x = \frac{33 - 65}{2}

False

The solutions are

x = 0, x = \frac{33 + 65}{2}

2 x + 5 - \frac{3}{2 x + 5} = - 2

\frac{- x}{25 - x ^{2}} = \frac{1}{2}

x + 4 = 5 x + 4

y, x = y^{\frac{3}{2}}

What is the answer to x^2-17x-16sqrt(x)=0 ?
The answer to x^2-17x-16sqrt(x)=0 is x=0,x=(33+sqrt(65))/2
Solve for x: x^2-17x-16sqrt(x)=0
The solution is x=0,x=(33+sqrt(65))/2