What is the answer to x=2xsqrt(100-x^2) ?

The answer to x=2xsqrt(100-x^2) is x=0,x=(sqrt(399))/2 ,x=-(sqrt(399))/2

Solve for x: x=2xsqrt(100-x^2)

The solution is x=0,x=(sqrt(399))/2 ,x=-(sqrt(399))/2

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x = 2 x 100 - x^{2}

x = 0, x = \frac{399}{2}, x = - \frac{399}{2}

Decimal Notation

x = 0, x = 9.98749 \dots, x = - 9.98749 \dots

Solution steps

x = 2 x 100 - x^{2}

Move

2 x 100 - x^{2}

to the left side

x - 2 x 100 - x^{2} = 0

Factor

x - 2 x 100 - x^{2} : - x (2 100 - x^{2} - 1)

- x (2 100 - x^{2} - 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 2 100 - x^{2} - 1 = 0

Solve

2 100 - x^{2} - 1 = 0 : x = \frac{399}{2}, x = - \frac{399}{2}

x = 0, x = \frac{399}{2}, x = - \frac{399}{2}

Verify Solutions:

x = 0

True

, x = \frac{399}{2}

True

, x = - \frac{399}{2}

True

The solutions are

x = 0, x = \frac{399}{2}, x = - \frac{399}{2}

4 x + 1 - 2 = x

x^{3.5} = 80

9 t + 4 = - 7

x + 1 = 7 - 2 x

What is the answer to x=2xsqrt(100-x^2) ?
The answer to x=2xsqrt(100-x^2) is x=0,x=(sqrt(399))/2 ,x=-(sqrt(399))/2
Solve for x: x=2xsqrt(100-x^2)
The solution is x=0,x=(sqrt(399))/2 ,x=-(sqrt(399))/2