What is the answer to (sqrt(1-x))/(sqrt(2))=x ?

The answer to (sqrt(1-x))/(sqrt(2))=x is x= 1/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(sqrt(1-x))/(sqrt(2))=x

\frac{1 - x}{2} = x

x = \frac{1}{2}

Decimal Notation

x = 0.5

Solution steps

\frac{1 - x}{2} = x

Multiply both sides by

2

\frac{1 - x}{2} 2 = x 2

Simplify

1 - x = x 2

Square both sides:

1 - x = 2 x^{2}

1 - x = 2 x^{2}

Solve

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

x = \frac{1}{2}, x = - 1

Verify Solutions:

x = \frac{1}{2}

True

, x = - 1

False

The solution is

x = \frac{1}{2}

8 - x = 2 x - 1

2 x - 3 = 3

x - 2 = 5

\frac{1}{2 + x} = 3

What is the answer to (sqrt(1-x))/(sqrt(2))=x ?
The answer to (sqrt(1-x))/(sqrt(2))=x is x= 1/2
Solve for x: (sqrt(1-x))/(sqrt(2))=x
The solution is x= 1/2