What are the solutions to the equation 8m^2-10m+20=0 ?

The solutions to the equation 8m^2-10m+20=0 are m= 5/8+i(3sqrt(15))/8 ,m= 5/8-i(3sqrt(15))/8

Find the zeros of 8m^2-10m+20=0

The zeros of 8m^2-10m+20=0 are m= 5/8+i(3sqrt(15))/8 ,m= 5/8-i(3sqrt(15))/8

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8 m^{2} - 10 m + 20 = 0

m = \frac{5}{8} + i \frac{3 15}{8}, m = \frac{5}{8} - i \frac{3 15}{8}

Solution steps

8 m^{2} - 10 m + 20 = 0

Solve with the quadratic formula

m_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 8 \cdot 20}{2 \cdot 8}

Simplify

(- 10)^{2} - 4 \cdot 8 \cdot 20 : 615 i

m_{1, 2} = \frac{- ( - 10 ) \pm 6 15 i}{2 \cdot 8}

Separate the solutions

m_{1} = \frac{- ( - 10 ) + 6 15 i}{2 \cdot 8}, m_{2} = \frac{- ( - 10 ) - 6 15 i}{2 \cdot 8}

m = \frac{- ( - 10 ) + 6 15 i}{2 \cdot 8} : \frac{5}{8} + i \frac{3 15}{8}

m = \frac{- ( - 10 ) - 6 15 i}{2 \cdot 8} : \frac{5}{8} - i \frac{3 15}{8}

The solutions to the quadratic equation are:

m = \frac{5}{8} + i \frac{3 15}{8}, m = \frac{5}{8} - i \frac{3 15}{8}

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5 x^{2} + 6 x - 12 = 0

What are the solutions to the equation 8m^2-10m+20=0 ?
The solutions to the equation 8m^2-10m+20=0 are m= 5/8+i(3sqrt(15))/8 ,m= 5/8-i(3sqrt(15))/8
Find the zeros of 8m^2-10m+20=0
The zeros of 8m^2-10m+20=0 are m= 5/8+i(3sqrt(15))/8 ,m= 5/8-i(3sqrt(15))/8