What are the solutions to the equation m^2-5m=84 ?

The solutions to the equation m^2-5m=84 are m=12,m=-7

Find the zeros of m^2-5m=84

The zeros of m^2-5m=84 are m=12,m=-7

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m^{2} - 5 m = 84

m = 12, m = - 7

Solution steps

m^{2} - 5 m = 84

Move

84

to the left side

m^{2} - 5 m - 84 = 0

Solve with the quadratic formula

m_{1, 2} = \frac{- ( - 5 ) \pm ( - 5 ) ^{2} - 4 \cdot 1 \cdot ( - 84 )}{2 \cdot 1}

(- 5)^{2} - 4 \cdot 1 \cdot (- 84) = 19

m_{1, 2} = \frac{- ( - 5 ) \pm 19}{2 \cdot 1}

Separate the solutions

m_{1} = \frac{- ( - 5 ) + 19}{2 \cdot 1}, m_{2} = \frac{- ( - 5 ) - 19}{2 \cdot 1}

m = \frac{- ( - 5 ) + 19}{2 \cdot 1} : 12

m = \frac{- ( - 5 ) - 19}{2 \cdot 1} : - 7

The solutions to the quadratic equation are:

m = 12, m = - 7

r (r - 1) + \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

What are the solutions to the equation m^2-5m=84 ?
The solutions to the equation m^2-5m=84 are m=12,m=-7
Find the zeros of m^2-5m=84
The zeros of m^2-5m=84 are m=12,m=-7