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

The answer to 2x-1=-sqrt(2-x) is x=-1/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

2 x - 1 = - 2 - x

x = - \frac{1}{4}

Decimal Notation

x = - 0.25

Solution steps

2 x - 1 = - 2 - x

Square both sides:

4 x^{2} - 4 x + 1 = 2 - x

4 x^{2} - 4 x + 1 = 2 - x

Solve

4 x^{2} - 4 x + 1 = 2 - x : x = 1, x = - \frac{1}{4}

x = 1, x = - \frac{1}{4}

Verify Solutions:

x = 1

False

, x = - \frac{1}{4}

True

The solution is

x = - \frac{1}{4}

5 - 4 x = x + 35

v - 5 = 23 - v

n = 1 0^{6}

x - 1 - x + 1 = - 3

x + 3 = 3 + x