What are the solutions to the equation -2x^2+6x-7=0 ?

The solutions to the equation -2x^2+6x-7=0 are x= 3/2-i(sqrt(5))/2 ,x= 3/2+i(sqrt(5))/2

Find the zeros of -2x^2+6x-7=0

The zeros of -2x^2+6x-7=0 are x= 3/2-i(sqrt(5))/2 ,x= 3/2+i(sqrt(5))/2

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- 2 x^{2} + 6 x - 7 = 0

x = \frac{3}{2} - i \frac{5}{2}, x = \frac{3}{2} + i \frac{5}{2}

Solution steps

- 2 x^{2} + 6 x - 7 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 ( - 2 ) ( - 7 )}{2 ( - 2 )}

Simplify

6^{2} - 4 (- 2) (- 7) : 25 i

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

Separate the solutions

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

x = \frac{- 6 + 2 5 i}{2 ( - 2 )} : \frac{3}{2} - i \frac{5}{2}

x = \frac{- 6 - 2 5 i}{2 ( - 2 )} : \frac{3}{2} + i \frac{5}{2}

The solutions to the quadratic equation are:

x = \frac{3}{2} - i \frac{5}{2}, x = \frac{3}{2} + i \frac{5}{2}

x^{2} - 6 x + 8

x^{2} - 6 x + 4 = - 7 x + 6

(x - 5) (x + 3) = 0

4 m^{2} - 21 m + 10 = - 5 m^{2}

x^{2} + 117 = 18 x

What are the solutions to the equation -2x^2+6x-7=0 ?
The solutions to the equation -2x^2+6x-7=0 are x= 3/2-i(sqrt(5))/2 ,x= 3/2+i(sqrt(5))/2
Find the zeros of -2x^2+6x-7=0
The zeros of -2x^2+6x-7=0 are x= 3/2-i(sqrt(5))/2 ,x= 3/2+i(sqrt(5))/2