What are the solutions to the equation 7m+m^2+10=0 ?

The solutions to the equation 7m+m^2+10=0 are m=-2,m=-5

Find the zeros of 7m+m^2+10=0

The zeros of 7m+m^2+10=0 are m=-2,m=-5

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7 m + m^{2} + 10 = 0

m = - 2, m = - 5

Solution steps

7 m + m^{2} + 10 = 0

Write in the standard form

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

m^{2} + 7 m + 10 = 0

Solve with the quadratic formula

m_{1, 2} = \frac{- 7 \pm 7 ^{2} - 4 \cdot 1 \cdot 10}{2 \cdot 1}

7^{2} - 4 \cdot 1 \cdot 10 = 3

m_{1, 2} = \frac{- 7 \pm 3}{2 \cdot 1}

Separate the solutions

m_{1} = \frac{- 7 + 3}{2 \cdot 1}, m_{2} = \frac{- 7 - 3}{2 \cdot 1}

m = \frac{- 7 + 3}{2 \cdot 1} : - 2

m = \frac{- 7 - 3}{2 \cdot 1} : - 5

The solutions to the quadratic equation are:

m = - 2, m = - 5

3 x^{2} + \frac{9}{2} x - 4 = 5 x + \frac{3}{4}

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

2 x^{2} - 20 x + 58

3 x^{2} - 6 x + 9

(5 x)^{2} = 6

What are the solutions to the equation 7m+m^2+10=0 ?
The solutions to the equation 7m+m^2+10=0 are m=-2,m=-5
Find the zeros of 7m+m^2+10=0
The zeros of 7m+m^2+10=0 are m=-2,m=-5