What are the solutions to the equation m^2+6m+10=0 ?

The solutions to the equation m^2+6m+10=0 are m=-3+i,m=-3-i

Find the zeros of m^2+6m+10=0

The zeros of m^2+6m+10=0 are m=-3+i,m=-3-i

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m^{2} + 6 m + 10 = 0

m = - 3 + i, m = - 3 - i

Solution steps

m^{2} + 6 m + 10 = 0

Solve with the quadratic formula

m_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 \cdot 1 \cdot 10}{2 \cdot 1}

Simplify

6^{2} - 4 \cdot 1 \cdot 10 : 2 i

m_{1, 2} = \frac{- 6 \pm 2 i}{2 \cdot 1}

Separate the solutions

m_{1} = \frac{- 6 + 2 i}{2 \cdot 1}, m_{2} = \frac{- 6 - 2 i}{2 \cdot 1}

m = \frac{- 6 + 2 i}{2 \cdot 1} : - 3 + i

m = \frac{- 6 - 2 i}{2 \cdot 1} : - 3 - i

The solutions to the quadratic equation are:

m = - 3 + i, m = - 3 - i

t^{2} - 2 t = 5

x + x^{2} = 90

0 = 2 x^{2} - x + 1

5 x^{2} - 8 x + 8 = 0

y^{2} - 3 y = 2

What are the solutions to the equation m^2+6m+10=0 ?
The solutions to the equation m^2+6m+10=0 are m=-3+i,m=-3-i
Find the zeros of m^2+6m+10=0
The zeros of m^2+6m+10=0 are m=-3+i,m=-3-i