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

The solutions to the equation -2x^2+6x-8=0 are x= 3/2-i(sqrt(7))/2 ,x= 3/2+i(sqrt(7))/2

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

The zeros of -2x^2+6x-8=0 are x= 3/2-i(sqrt(7))/2 ,x= 3/2+i(sqrt(7))/2

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

x = \frac{3}{2} - i \frac{7}{2}, x = \frac{3}{2} + i \frac{7}{2}

Solution steps

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

Solve with the quadratic formula

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

Simplify

6^{2} - 4 (- 2) (- 8) : 27 i

x_{1, 2} = \frac{- 6 \pm 2 7 i}{2 ( - 2 )}

Separate the solutions

x_{1} = \frac{- 6 + 2 7 i}{2 ( - 2 )}, x_{2} = \frac{- 6 - 2 7 i}{2 ( - 2 )}

x = \frac{- 6 + 2 7 i}{2 ( - 2 )} : \frac{3}{2} - i \frac{7}{2}

x = \frac{- 6 - 2 7 i}{2 ( - 2 )} : \frac{3}{2} + i \frac{7}{2}

The solutions to the quadratic equation are:

x = \frac{3}{2} - i \frac{7}{2}, x = \frac{3}{2} + i \frac{7}{2}

x^{2} - x + 64 = 0

3 x^{2} - 6 x - 5 = 0

1 - x + 0.25 x^{2} = 0

6 x^{2} - 23 x = 0

x^{2} - 6 x - 4

What are the solutions to the equation -2x^2+6x-8=0 ?
The solutions to the equation -2x^2+6x-8=0 are x= 3/2-i(sqrt(7))/2 ,x= 3/2+i(sqrt(7))/2
Find the zeros of -2x^2+6x-8=0
The zeros of -2x^2+6x-8=0 are x= 3/2-i(sqrt(7))/2 ,x= 3/2+i(sqrt(7))/2