What is the answer to sqrt(x+1)+sqrt(9x+9)=2x+2 ?

The answer to sqrt(x+1)+sqrt(9x+9)=2x+2 is x=3,x=-1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sqrt(x+1)+sqrt(9x+9)=2x+2

x + 1 + 9 x + 9 = 2 x + 2

x = 3, x = - 1

Solution steps

x + 1 + 9 x + 9 = 2 x + 2

Factor

x + 1 + 9 x + 9 : 4 1 + x

Factor

2 x + 2 : 2 (x + 1)

4 1 + x = 2 (x + 1)

Square both sides:

16 + 16 x = 4 x^{2} + 8 x + 4

16 + 16 x = 4 x^{2} + 8 x + 4

Solve

16 + 16 x = 4 x^{2} + 8 x + 4 : x = 3, x = - 1

x = 3, x = - 1

Verify Solutions:

x = 3

True

, x = - 1

True

The solutions are

x = 3, x = - 1

x, x + 5 = x - 1

x^{\frac{3}{2}} + x = 36

8 x - 1 = 3 - 4 x

2 x - 7 = x - 3

w^{\frac{1}{3}} = 5

What is the answer to sqrt(x+1)+sqrt(9x+9)=2x+2 ?
The answer to sqrt(x+1)+sqrt(9x+9)=2x+2 is x=3,x=-1
Solve for x: sqrt(x+1)+sqrt(9x+9)=2x+2
The solution is x=3,x=-1