What is the answer to x=2xsqrt(25-x^2) ?

The answer to x=2xsqrt(25-x^2) is x=0,x=(3sqrt(11))/2 ,x=-(3sqrt(11))/2

Solve for x: x=2xsqrt(25-x^2)

The solution is x=0,x=(3sqrt(11))/2 ,x=-(3sqrt(11))/2

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x = 2 x 25 - x^{2}

x = 0, x = \frac{3 11}{2}, x = - \frac{3 11}{2}

Decimal Notation

x = 0, x = 4.97493 \dots, x = - 4.97493 \dots

Solution steps

x = 2 x 25 - x^{2}

Move

2 x 25 - x^{2}

to the left side

x - 2 x 25 - x^{2} = 0

Factor

x - 2 x 25 - x^{2} : - x (2 25 - x^{2} - 1)

- x (2 25 - x^{2} - 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 2 25 - x^{2} - 1 = 0

Solve

2 25 - x^{2} - 1 = 0 : x = \frac{3 11}{2}, x = - \frac{3 11}{2}

x = 0, x = \frac{3 11}{2}, x = - \frac{3 11}{2}

Verify Solutions:

x = 0

True

, x = \frac{3 11}{2}

True

, x = - \frac{3 11}{2}

True

The solutions are

x = 0, x = \frac{3 11}{2}, x = - \frac{3 11}{2}

128 = x + 2

x^{2} = - x

3 + 3 + 3 + x = x

(3 x + 1)^{\frac{3}{4}} = 8

x + 2 x + 3 = 6

What is the answer to x=2xsqrt(25-x^2) ?
The answer to x=2xsqrt(25-x^2) is x=0,x=(3sqrt(11))/2 ,x=-(3sqrt(11))/2
Solve for x: x=2xsqrt(25-x^2)
The solution is x=0,x=(3sqrt(11))/2 ,x=-(3sqrt(11))/2