What is the answer to x=sqrt(4-x^2) ?

The answer to x=sqrt(4-x^2) is x=sqrt(2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x=sqrt(4-x^2)

x = 4 - x^{2}

x = 2

Decimal Notation

x = 1.41421 \dots

Solution steps

x = 4 - x^{2}

Square both sides:

x^{2} = 4 - x^{2}

x^{2} = 4 - x^{2}

Solve

x^{2} = 4 - x^{2} : x = 2, x = - 2

x = 2, x = - 2

Verify Solutions:

x = 2

True

, x = - 2

False

The solution is

x = 2

x^{2} - 4 x + 3 = x - 2

x - 1 + 7 = x

7 - (3 k - 29)^{\frac{1}{4}} = 5

8 x + 52 = x + 8