What is the answer to solvefor x,x=2xsqrt(81-x^2) ?

The answer to solvefor x,x=2xsqrt(81-x^2) is x=0,x=(sqrt(323))/2 ,x=-(sqrt(323))/2

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solvefor x,x=2xsqrt(81-x^2)

x, x = 2 x 81 - x^{2}

x = 0, x = \frac{323}{2}, x = - \frac{323}{2}

Decimal Notation

x = 0, x = 8.98610 \dots, x = - 8.98610 \dots

Solution steps

x = 2 x 81 - x^{2}

Move

2 x 81 - x^{2}

to the left side

x - 2 x 81 - x^{2} = 0

Factor

x - 2 x 81 - x^{2} : - x (2 81 - x^{2} - 1)

- x (2 81 - x^{2} - 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 2 81 - x^{2} - 1 = 0

Solve

2 81 - x^{2} - 1 = 0 : x = \frac{323}{2}, x = - \frac{323}{2}

x = 0, x = \frac{323}{2}, x = - \frac{323}{2}

Verify Solutions:

x = 0

True

, x = \frac{323}{2}

True

, x = - \frac{323}{2}

True

The solutions are

x = 0, x = \frac{323}{2}, x = - \frac{323}{2}

x + 2 + x = 2

x = 1 - x

(5 x + 1)^{\frac{1}{2}} = 9

(5 x + 1)^{\frac{1}{2}} = 6

3 2 x + 7 + x + 3 = 11

What is the answer to solvefor x,x=2xsqrt(81-x^2) ?
The answer to solvefor x,x=2xsqrt(81-x^2) is x=0,x=(sqrt(323))/2 ,x=-(sqrt(323))/2