What is the answer to sqrt(x+3)=x-2 ?

The answer to sqrt(x+3)=x-2 is x=(5+sqrt(21))/2

Solve for x: sqrt(x+3)=x-2

The solution is x=(5+sqrt(21))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x + 3 = x - 2

x = \frac{5 + 21}{2}

Decimal Notation

x = 4.79128 \dots

Solution steps

x + 3 = x - 2

Square both sides:

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

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

Solve

x + 3 = x^{2} - 4 x + 4 : x = \frac{5 + 21}{2}, x = \frac{5 - 21}{2}

x = \frac{5 + 21}{2}, x = \frac{5 - 21}{2}

Verify Solutions:

x = \frac{5 + 21}{2}

True

, x = \frac{5 - 21}{2}

False

The solution is

x = \frac{5 + 21}{2}

4 + x + 4 - x = 4

- 8 x - 5 = - 16

2 x + 1 + 7 = x

9 x^{2} - 5 - 3 x = - 1

2 x - 1 = x

What is the answer to sqrt(x+3)=x-2 ?
The answer to sqrt(x+3)=x-2 is x=(5+sqrt(21))/2
Solve for x: sqrt(x+3)=x-2
The solution is x=(5+sqrt(21))/2