What are the solutions to the equation -9x^2-15x-59=0 ?

The solutions to the equation -9x^2-15x-59=0 are x=-5/6-i(sqrt(211))/6 ,x=-5/6+i(sqrt(211))/6

Find the zeros of -9x^2-15x-59=0

The zeros of -9x^2-15x-59=0 are x=-5/6-i(sqrt(211))/6 ,x=-5/6+i(sqrt(211))/6

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- 9 x^{2} - 15 x - 59 = 0

x = - \frac{5}{6} - i \frac{211}{6}, x = - \frac{5}{6} + i \frac{211}{6}

Solution steps

- 9 x^{2} - 15 x - 59 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 15 ) \pm ( - 15 ) ^{2} - 4 ( - 9 ) ( - 59 )}{2 ( - 9 )}

Simplify

(- 15)^{2} - 4 (- 9) (- 59) : 3211 i

x_{1, 2} = \frac{- ( - 15 ) \pm 3 211 i}{2 ( - 9 )}

Separate the solutions

x_{1} = \frac{- ( - 15 ) + 3 211 i}{2 ( - 9 )}, x_{2} = \frac{- ( - 15 ) - 3 211 i}{2 ( - 9 )}

x = \frac{- ( - 15 ) + 3 211 i}{2 ( - 9 )} : - \frac{5}{6} - i \frac{211}{6}

x = \frac{- ( - 15 ) - 3 211 i}{2 ( - 9 )} : - \frac{5}{6} + i \frac{211}{6}

The solutions to the quadratic equation are:

x = - \frac{5}{6} - i \frac{211}{6}, x = - \frac{5}{6} + i \frac{211}{6}

y, x = y^{2} + 1

z^{2} + 2 z = i - 1

3 x^{2} - 11 x + 16 = 0

2 w^{2} - 4 w + 4 = 3 w

7 x^{2} - 44 x - 35 = 0

What are the solutions to the equation -9x^2-15x-59=0 ?
The solutions to the equation -9x^2-15x-59=0 are x=-5/6-i(sqrt(211))/6 ,x=-5/6+i(sqrt(211))/6
Find the zeros of -9x^2-15x-59=0
The zeros of -9x^2-15x-59=0 are x=-5/6-i(sqrt(211))/6 ,x=-5/6+i(sqrt(211))/6