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

The answer to 2sqrt(1-r)=sqrt(1+2r)-1 is r= 8/9

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2sqrt(1-r)=sqrt(1+2r)-1

2 1 - r = 1 + 2 r - 1

r = \frac{8}{9}

Decimal Notation

r = 0.88888 \dots

Solution steps

2 1 - r = 1 + 2 r - 1

Remove square roots

36 r^{2} - 24 r + 4 = 4 + 8 r

Solve

36 r^{2} - 24 r + 4 = 4 + 8 r : r = \frac{8}{9}, r = 0

r = \frac{8}{9}, r = 0

Verify Solutions:

r = \frac{8}{9}

True

, r = 0

False

The solution is

r = \frac{8}{9}

3 x^{\frac{5}{2}} - 24 x^{2} = 0

X + 4 X + 1 = 5

1.5 = 2.15 (1.5 - x)^{\frac{3}{2}}

2 x - 6 - x + 2 = 0

What is the answer to 2sqrt(1-r)=sqrt(1+2r)-1 ?
The answer to 2sqrt(1-r)=sqrt(1+2r)-1 is r= 8/9
Solve for r: 2sqrt(1-r)=sqrt(1+2r)-1
The solution is r= 8/9