What are the solutions to the equation -2x^2+3x-9=0 ?

The solutions to the equation -2x^2+3x-9=0 are x= 3/4-i(3sqrt(7))/4 ,x= 3/4+i(3sqrt(7))/4

Find the zeros of -2x^2+3x-9=0

The zeros of -2x^2+3x-9=0 are x= 3/4-i(3sqrt(7))/4 ,x= 3/4+i(3sqrt(7))/4

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- 2 x^{2} + 3 x - 9 = 0

x = \frac{3}{4} - i \frac{3 7}{4}, x = \frac{3}{4} + i \frac{3 7}{4}

Solution steps

- 2 x^{2} + 3 x - 9 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 3 \pm 3 ^{2} - 4 ( - 2 ) ( - 9 )}{2 ( - 2 )}

Simplify

3^{2} - 4 (- 2) (- 9) : 37 i

x_{1, 2} = \frac{- 3 \pm 3 7 i}{2 ( - 2 )}

Separate the solutions

x_{1} = \frac{- 3 + 3 7 i}{2 ( - 2 )}, x_{2} = \frac{- 3 - 3 7 i}{2 ( - 2 )}

x = \frac{- 3 + 3 7 i}{2 ( - 2 )} : \frac{3}{4} - i \frac{3 7}{4}

x = \frac{- 3 - 3 7 i}{2 ( - 2 )} : \frac{3}{4} + i \frac{3 7}{4}

The solutions to the quadratic equation are:

x = \frac{3}{4} - i \frac{3 7}{4}, x = \frac{3}{4} + i \frac{3 7}{4}

y^{2} + 4 y + 5 = 3

x^{2} = 225 + (81) + (2^{3} + 16)

- 5 x^{2} - 100 x - 320 = 0

3 x - 2 x^{2} = 7

2 d^{2} + 11 d + 20 = d^{2}

What are the solutions to the equation -2x^2+3x-9=0 ?
The solutions to the equation -2x^2+3x-9=0 are x= 3/4-i(3sqrt(7))/4 ,x= 3/4+i(3sqrt(7))/4
Find the zeros of -2x^2+3x-9=0
The zeros of -2x^2+3x-9=0 are x= 3/4-i(3sqrt(7))/4 ,x= 3/4+i(3sqrt(7))/4