What are the solutions to the equation r(r-1)+1/2 r=0 ?

The solutions to the equation r(r-1)+1/2 r=0 are r= 1/2 ,r=0

Find the zeros of r(r-1)+1/2 r=0

The zeros of r(r-1)+1/2 r=0 are r= 1/2 ,r=0

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

r (r - 1) + \frac{1}{2} r = 0

r = \frac{1}{2}, r = 0

Decimal Notation

r = 0.5, r = 0

Solution steps

r (r - 1) + \frac{1}{2} r = 0

Multiply both sides by

2

2 r (r - 1) + r = 0

Expand

2 r (r - 1) + r : 2 r^{2} - r

2 r^{2} - r = 0

Solve with the quadratic formula

r_{1, 2} = \frac{- ( - 1 ) \pm ( - 1 ) ^{2} - 4 \cdot 2 \cdot 0}{2 \cdot 2}

(- 1)^{2} - 4 \cdot 2 \cdot 0 = 1

r_{1, 2} = \frac{- ( - 1 ) \pm 1}{2 \cdot 2}

Separate the solutions

r_{1} = \frac{- ( - 1 ) + 1}{2 \cdot 2}, r_{2} = \frac{- ( - 1 ) - 1}{2 \cdot 2}

r = \frac{- ( - 1 ) + 1}{2 \cdot 2} : \frac{1}{2}

r = \frac{- ( - 1 ) - 1}{2 \cdot 2} : 0

The solutions to the quadratic equation are:

r = \frac{1}{2}, r = 0

(x + 7) (x - 2) = 10

r^{2} + 7 r + 16 = 0

16 x^{2} - 441 = 0

- 12 x^{2} + 22 x = 0

3 x^{2} + 11 x = - 6

What are the solutions to the equation r(r-1)+1/2 r=0 ?
The solutions to the equation r(r-1)+1/2 r=0 are r= 1/2 ,r=0
Find the zeros of r(r-1)+1/2 r=0
The zeros of r(r-1)+1/2 r=0 are r= 1/2 ,r=0