What are the solutions to the equation 5x^2-8x+6=0 ?

The solutions to the equation 5x^2-8x+6=0 are x= 4/5+i(sqrt(14))/5 ,x= 4/5-i(sqrt(14))/5

Find the zeros of 5x^2-8x+6=0

The zeros of 5x^2-8x+6=0 are x= 4/5+i(sqrt(14))/5 ,x= 4/5-i(sqrt(14))/5

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5 x^{2} - 8 x + 6 = 0

x = \frac{4}{5} + i \frac{14}{5}, x = \frac{4}{5} - i \frac{14}{5}

Solution steps

5 x^{2} - 8 x + 6 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 5 \cdot 6}{2 \cdot 5}

Simplify

(- 8)^{2} - 4 \cdot 5 \cdot 6 : 214 i

x_{1, 2} = \frac{- ( - 8 ) \pm 2 14 i}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 8 ) + 2 14 i}{2 \cdot 5}, x_{2} = \frac{- ( - 8 ) - 2 14 i}{2 \cdot 5}

x = \frac{- ( - 8 ) + 2 14 i}{2 \cdot 5} : \frac{4}{5} + i \frac{14}{5}

x = \frac{- ( - 8 ) - 2 14 i}{2 \cdot 5} : \frac{4}{5} - i \frac{14}{5}

The solutions to the quadratic equation are:

x = \frac{4}{5} + i \frac{14}{5}, x = \frac{4}{5} - i \frac{14}{5}

10 x^{2} - 7 x + 1 = 0

2 (4 x - 3)^{2} - 13 = 29

49 x^{2} - 100 = 0

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

(x + 1) (x - 5) = 16

What are the solutions to the equation 5x^2-8x+6=0 ?
The solutions to the equation 5x^2-8x+6=0 are x= 4/5+i(sqrt(14))/5 ,x= 4/5-i(sqrt(14))/5
Find the zeros of 5x^2-8x+6=0
The zeros of 5x^2-8x+6=0 are x= 4/5+i(sqrt(14))/5 ,x= 4/5-i(sqrt(14))/5