What are the solutions to the equation 8m-m^2=14 ?

The solutions to the equation 8m-m^2=14 are m=4-sqrt(2),m=4+sqrt(2)

Find the zeros of 8m-m^2=14

The zeros of 8m-m^2=14 are m=4-sqrt(2),m=4+sqrt(2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

8 m - m^{2} = 14

m = 4 - 2, m = 4 + 2

Decimal Notation

m = 2.58578 \dots, m = 5.41421 \dots

Solution steps

8 m - m^{2} = 14

Move

14

to the left side

8 m - m^{2} - 14 = 0

Write in the standard form

a x^{2} + b x + c = 0

- m^{2} + 8 m - 14 = 0

Solve with the quadratic formula

m_{1, 2} = \frac{- 8 \pm 8 ^{2} - 4 ( - 1 ) ( - 14 )}{2 ( - 1 )}

8^{2} - 4 (- 1) (- 14) = 22

m_{1, 2} = \frac{- 8 \pm 2 2}{2 ( - 1 )}

Separate the solutions

m_{1} = \frac{- 8 + 2 2}{2 ( - 1 )}, m_{2} = \frac{- 8 - 2 2}{2 ( - 1 )}

m = \frac{- 8 + 2 2}{2 ( - 1 )} : 4 - 2

m = \frac{- 8 - 2 2}{2 ( - 1 )} : 4 + 2

The solutions to the quadratic equation are:

m = 4 - 2, m = 4 + 2

5 (1 - x) 2 - 6 (x^{2} - 3 x - 7) = x (x - 3) - 2 x (x + 5) - 2

w^{2} + 8 w + 12 = 0

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

x, x^{2} + y^{2} - 8 x + 16 y + 93 = 0

5 x^{2} - 12 = 17 x

What are the solutions to the equation 8m-m^2=14 ?
The solutions to the equation 8m-m^2=14 are m=4-sqrt(2),m=4+sqrt(2)
Find the zeros of 8m-m^2=14
The zeros of 8m-m^2=14 are m=4-sqrt(2),m=4+sqrt(2)