What are the solutions to the equation -4x^2+5x-9=0 ?

The solutions to the equation -4x^2+5x-9=0 are x= 5/8-i(sqrt(119))/8 ,x= 5/8+i(sqrt(119))/8

Find the zeros of -4x^2+5x-9=0

The zeros of -4x^2+5x-9=0 are x= 5/8-i(sqrt(119))/8 ,x= 5/8+i(sqrt(119))/8

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- 4 x^{2} + 5 x - 9 = 0

x = \frac{5}{8} - i \frac{119}{8}, x = \frac{5}{8} + i \frac{119}{8}

Solution steps

- 4 x^{2} + 5 x - 9 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 5 \pm 5 ^{2} - 4 ( - 4 ) ( - 9 )}{2 ( - 4 )}

Simplify

5^{2} - 4 (- 4) (- 9) : 119 i

x_{1, 2} = \frac{- 5 \pm 119 i}{2 ( - 4 )}

Separate the solutions

x_{1} = \frac{- 5 + 119 i}{2 ( - 4 )}, x_{2} = \frac{- 5 - 119 i}{2 ( - 4 )}

x = \frac{- 5 + 119 i}{2 ( - 4 )} : \frac{5}{8} - i \frac{119}{8}

x = \frac{- 5 - 119 i}{2 ( - 4 )} : \frac{5}{8} + i \frac{119}{8}

The solutions to the quadratic equation are:

x = \frac{5}{8} - i \frac{119}{8}, x = \frac{5}{8} + i \frac{119}{8}

5 n^{2} - 18 n + 12 = 0

x^{2} - 10 x + 25 = 144

x, - 11 x^{2} + 132 x + 17 y^{2} - 136 y - 124 = 0

(2 x - 7)^{2} = (x - 4)^{2} + (2 x + 3) (2 x - 5)

(x - 4)^{2} = - 25

What are the solutions to the equation -4x^2+5x-9=0 ?
The solutions to the equation -4x^2+5x-9=0 are x= 5/8-i(sqrt(119))/8 ,x= 5/8+i(sqrt(119))/8
Find the zeros of -4x^2+5x-9=0
The zeros of -4x^2+5x-9=0 are x= 5/8-i(sqrt(119))/8 ,x= 5/8+i(sqrt(119))/8