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

The answer to (-2sqrt(x+1))/(9-(x-1))=1 is x=4(3+sqrt(3))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

\frac{- 2 x + 1}{9 - ( x - 1 )} = 1

x = 4 (3 + 3)

Decimal Notation

x = 18.92820 \dots

Solution steps

\frac{- 2 x + 1}{9 - ( x - 1 )} = 1

Multiply both sides by

9 - (x - 1)

\frac{- 2 x + 1}{9 - ( x - 1 )} (9 - (x - 1)) = 1 \cdot (9 - (x - 1))

Simplify

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

Expand

9 - (x - 1) : - x + 10

- 2 x + 1 = - x + 10

Square both sides:

4 x + 4 = x^{2} - 20 x + 100

4 x + 4 = x^{2} - 20 x + 100

Solve

4 x + 4 = x^{2} - 20 x + 100 : x = 4 (3 + 3), x = 4 (3 - 3)

x = 4 (3 + 3), x = 4 (3 - 3)

Verify Solutions:

x = 4 (3 + 3)

True

, x = 4 (3 - 3)

False

The solution is

x = 4 (3 + 3)

400 x^{\frac{1}{2}} - 50 x = 0

v = 1.2 + 0.54 + 0.78

(x - 3)^{2} = 16

x - 1 + 6 - x = 3

x + 2 = 4 + 7 x

What is the answer to (-2sqrt(x+1))/(9-(x-1))=1 ?
The answer to (-2sqrt(x+1))/(9-(x-1))=1 is x=4(3+sqrt(3))
Solve for x: (-2sqrt(x+1))/(9-(x-1))=1
The solution is x=4(3+sqrt(3))