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

The solutions to the equation -9e^2+5e-9=0 are e= 5/18-i(sqrt(299))/(18),e= 5/18+i(sqrt(299))/(18)

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

The zeros of -9e^2+5e-9=0 are e= 5/18-i(sqrt(299))/(18),e= 5/18+i(sqrt(299))/(18)

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- 9 e^{2} + 5 e - 9 = 0

e = \frac{5}{18} - i \frac{299}{18}, e = \frac{5}{18} + i \frac{299}{18}

Solution steps

- 9 e^{2} + 5 e - 9 = 0

Solve with the quadratic formula

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

Simplify

5^{2} - 4 (- 9) (- 9) : 299 i

e_{1, 2} = \frac{- 5 \pm 299 i}{2 ( - 9 )}

Separate the solutions

e_{1} = \frac{- 5 + 299 i}{2 ( - 9 )}, e_{2} = \frac{- 5 - 299 i}{2 ( - 9 )}

e = \frac{- 5 + 299 i}{2 ( - 9 )} : \frac{5}{18} - i \frac{299}{18}

e = \frac{- 5 - 299 i}{2 ( - 9 )} : \frac{5}{18} + i \frac{299}{18}

The solutions to the quadratic equation are:

e = \frac{5}{18} - i \frac{299}{18}, e = \frac{5}{18} + i \frac{299}{18}

x^{2} + x + 0.25 = 0

7 x^{2} + 34 = 5 x^{2} + 20 + 14

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

3 x^{2} + 4 x

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

What are the solutions to the equation -9e^2+5e-9=0 ?
The solutions to the equation -9e^2+5e-9=0 are e= 5/18-i(sqrt(299))/(18),e= 5/18+i(sqrt(299))/(18)
Find the zeros of -9e^2+5e-9=0
The zeros of -9e^2+5e-9=0 are e= 5/18-i(sqrt(299))/(18),e= 5/18+i(sqrt(299))/(18)