What is the answer to x=2xsqrt(64-x^2) ?

The answer to x=2xsqrt(64-x^2) is x=0,x=(sqrt(255))/2 ,x=-(sqrt(255))/2

Solve for x: x=2xsqrt(64-x^2)

The solution is x=0,x=(sqrt(255))/2 ,x=-(sqrt(255))/2

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x = 2 x 64 - x^{2}

x = 0, x = \frac{255}{2}, x = - \frac{255}{2}

Solution steps

x = 2 x 64 - x^{2}

Move

2 x 64 - x^{2}

to the left side

x - 2 x 64 - x^{2} = 0

Factor

x - 2 x 64 - x^{2} : - x (2 64 - x^{2} - 1)

- x (2 64 - x^{2} - 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 2 64 - x^{2} - 1 = 0

Solve

2 64 - x^{2} - 1 = 0 : x = \frac{255}{2}, x = - \frac{255}{2}

x = 0, x = \frac{255}{2}, x = - \frac{255}{2}

Verify Solutions:

x = 0

True

, x = \frac{255}{2}

True

, x = - \frac{255}{2}

True

The solutions are

x = 0, x = \frac{255}{2}, x = - \frac{255}{2}

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

x - 7 = 17 x + 49

x^{- \frac{1}{2}} = 3

5 \cdot x + 9 = 35

2 k + 40 = - 16 - 2 k

What is the answer to x=2xsqrt(64-x^2) ?
The answer to x=2xsqrt(64-x^2) is x=0,x=(sqrt(255))/2 ,x=-(sqrt(255))/2
Solve for x: x=2xsqrt(64-x^2)
The solution is x=0,x=(sqrt(255))/2 ,x=-(sqrt(255))/2