What is the answer to x=2xsqrt(9-x^2) ?

The answer to x=2xsqrt(9-x^2) is x=0,x=(sqrt(35))/2 ,x=-(sqrt(35))/2

Solve for x: x=2xsqrt(9-x^2)

The solution is x=0,x=(sqrt(35))/2 ,x=-(sqrt(35))/2

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x = 2 x 9 - x^{2}

x = 0, x = \frac{35}{2}, x = - \frac{35}{2}

Decimal

x = 0, x = 2.95803 \dots, x = - 2.95803 \dots

Solution steps

x = 2 x 9 - x^{2}

Move

2 x 9 - x^{2}

to the left side

x - 2 x 9 - x^{2} = 0

Factor

x - 2 x 9 - x^{2} : - x (2 9 - x^{2} - 1)

- x (2 9 - x^{2} - 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 2 9 - x^{2} - 1 = 0

Solve

2 9 - x^{2} - 1 = 0 : x = \frac{35}{2}, x = - \frac{35}{2}

x = 0, x = \frac{35}{2}, x = - \frac{35}{2}

Verify Solutions:

x = 0

True

, x = \frac{35}{2}

True

, x = - \frac{35}{2}

True

The solutions are

x = 0, x = \frac{35}{2}, x = - \frac{35}{2}

6 x - 5 = 5

(2 x + 4)^{\frac{3}{2}} = 64

x + 28 - 2 x + 1 = 0

3 - 2 x = - 1 - x

x + 4 - x - 8 = 2

What is the answer to x=2xsqrt(9-x^2) ?
The answer to x=2xsqrt(9-x^2) is x=0,x=(sqrt(35))/2 ,x=-(sqrt(35))/2
Solve for x: x=2xsqrt(9-x^2)
The solution is x=0,x=(sqrt(35))/2 ,x=-(sqrt(35))/2