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

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

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2 x 100 - x^{2} = x

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

Decimal Notation

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

Solution steps

2 x 100 - x^{2} = x

Move

x

to the left side

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

Factor

2 x 100 - x^{2} - x : 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}

3 x + 1 - 7 = 0

x^{2} + 3 x - 1 = x^{2} + 3 x - 1 + 6

2 x - 5 = x - 2

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