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

2 x^{2} - 11 x - 3 = - x^{2} + 1

\frac{x ^{2}}{16} - \frac{x}{8} = 1

4 x^{2} + 13 x - 35 = 0

x^{2} + 11 x - 2

x, x^{2} + 4 x - 3 = 0

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