What are the solutions to the equation 5m^2-6m+5=0 ?

The solutions to the equation 5m^2-6m+5=0 are m= 3/5+i 4/5 ,m= 3/5-i 4/5

Find the zeros of 5m^2-6m+5=0

The zeros of 5m^2-6m+5=0 are m= 3/5+i 4/5 ,m= 3/5-i 4/5

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5 m^{2} - 6 m + 5 = 0

m = \frac{3}{5} + i \frac{4}{5}, m = \frac{3}{5} - i \frac{4}{5}

Solution steps

5 m^{2} - 6 m + 5 = 0

Solve with the quadratic formula

m_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 5 \cdot 5}{2 \cdot 5}

Simplify

(- 6)^{2} - 4 \cdot 5 \cdot 5 : 8 i

m_{1, 2} = \frac{- ( - 6 ) \pm 8 i}{2 \cdot 5}

Separate the solutions

m_{1} = \frac{- ( - 6 ) + 8 i}{2 \cdot 5}, m_{2} = \frac{- ( - 6 ) - 8 i}{2 \cdot 5}

m = \frac{- ( - 6 ) + 8 i}{2 \cdot 5} : \frac{3}{5} + i \frac{4}{5}

m = \frac{- ( - 6 ) - 8 i}{2 \cdot 5} : \frac{3}{5} - i \frac{4}{5}

The solutions to the quadratic equation are:

m = \frac{3}{5} + i \frac{4}{5}, m = \frac{3}{5} - i \frac{4}{5}

5 x^{2} + 380 = 90 x - 10

3 x^{2} + (2 + 1) x - 2 = 0

\frac{x ^{2}}{3} - x = 7

x, 3 f (1 - x) - f = 3 x^{2} - 1

x^{2} + 5 = - 6 x

What are the solutions to the equation 5m^2-6m+5=0 ?
The solutions to the equation 5m^2-6m+5=0 are m= 3/5+i 4/5 ,m= 3/5-i 4/5
Find the zeros of 5m^2-6m+5=0
The zeros of 5m^2-6m+5=0 are m= 3/5+i 4/5 ,m= 3/5-i 4/5