What are the solutions to the equation (m^2)/5-m/2 = 3/10 ?

The solutions to the equation (m^2)/5-m/2 = 3/10 are m=3,m=-1/2

Find the zeros of (m^2)/5-m/2 = 3/10

The zeros of (m^2)/5-m/2 = 3/10 are m=3,m=-1/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{m ^{2}}{5} - \frac{m}{2} = \frac{3}{10}

m = 3, m = - \frac{1}{2}

Decimal Notation

m = 3, m = - 0.5

Solution steps

\frac{m ^{2}}{5} - \frac{m}{2} = \frac{3}{10}

Find Least Common Multiplier of

5, 2, 10 : 10

Multiply by LCM=

10

\frac{m ^{2}}{5} \cdot 10 - \frac{m}{2} \cdot 10 = \frac{3}{10} \cdot 10

Simplify

2 m^{2} - 5 m = 3

Move

3

to the left side

2 m^{2} - 5 m - 3 = 0

Solve with the quadratic formula

m_{1, 2} = \frac{- ( - 5 ) \pm ( - 5 ) ^{2} - 4 \cdot 2 ( - 3 )}{2 \cdot 2}

(- 5)^{2} - 4 \cdot 2 (- 3) = 7

m_{1, 2} = \frac{- ( - 5 ) \pm 7}{2 \cdot 2}

Separate the solutions

m_{1} = \frac{- ( - 5 ) + 7}{2 \cdot 2}, m_{2} = \frac{- ( - 5 ) - 7}{2 \cdot 2}

m = \frac{- ( - 5 ) + 7}{2 \cdot 2} : 3

m = \frac{- ( - 5 ) - 7}{2 \cdot 2} : - \frac{1}{2}

The solutions to the quadratic equation are:

m = 3, m = - \frac{1}{2}

(x + 3) (x - 3) - (x - 2)^{2} = 6 + x (x - 5)

- 3 l^{2} + 20 l + 100 = 0

3 (x^{2} - 2 x) = 8 (x - 2) + 8

x^{2} - 11 x - 350 = 0

x, x^{2} + y^{2} = 6 x y

What are the solutions to the equation (m^2)/5-m/2 = 3/10 ?
The solutions to the equation (m^2)/5-m/2 = 3/10 are m=3,m=-1/2
Find the zeros of (m^2)/5-m/2 = 3/10
The zeros of (m^2)/5-m/2 = 3/10 are m=3,m=-1/2