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

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

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

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

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

x = \frac{4}{5} + i \frac{2 6}{5}, x = \frac{4}{5} - i \frac{2 6}{5}

Solution steps

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

Solve with the quadratic formula

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

Simplify

(- 8)^{2} - 4 \cdot 5 \cdot 8 : 46 i

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

x = \frac{4}{5} + i \frac{2 6}{5}, x = \frac{4}{5} - i \frac{2 6}{5}

y^{2} - 3 y = 2

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

16 x^{2} + 9 x - 12 = 4 x + 9 x^{2}

2 x^{2} + 2 x = 24

x, x^{2} y^{2} - 18 x = 3

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