What are the solutions to the equation -2x^2-17x-53=0 ?

The solutions to the equation -2x^2-17x-53=0 are x=-17/4-i(3sqrt(15))/4 ,x=-17/4+i(3sqrt(15))/4

Find the zeros of -2x^2-17x-53=0

The zeros of -2x^2-17x-53=0 are x=-17/4-i(3sqrt(15))/4 ,x=-17/4+i(3sqrt(15))/4

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- 2 x^{2} - 17 x - 53 = 0

x = - \frac{17}{4} - i \frac{3 15}{4}, x = - \frac{17}{4} + i \frac{3 15}{4}

Solution steps

- 2 x^{2} - 17 x - 53 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 17 ) \pm ( - 17 ) ^{2} - 4 ( - 2 ) ( - 53 )}{2 ( - 2 )}

Simplify

(- 17)^{2} - 4 (- 2) (- 53) : 315 i

x_{1, 2} = \frac{- ( - 17 ) \pm 3 15 i}{2 ( - 2 )}

Separate the solutions

x_{1} = \frac{- ( - 17 ) + 3 15 i}{2 ( - 2 )}, x_{2} = \frac{- ( - 17 ) - 3 15 i}{2 ( - 2 )}

x = \frac{- ( - 17 ) + 3 15 i}{2 ( - 2 )} : - \frac{17}{4} - i \frac{3 15}{4}

x = \frac{- ( - 17 ) - 3 15 i}{2 ( - 2 )} : - \frac{17}{4} + i \frac{3 15}{4}

The solutions to the quadratic equation are:

x = - \frac{17}{4} - i \frac{3 15}{4}, x = - \frac{17}{4} + i \frac{3 15}{4}

x, 3 y^{2} - 12 z^{2} - 4 x^{2} = 12

25 x^{2} - 20 x + 9 = 0

4 x^{2} + 6 x - 86 = 2

3 x^{2} + (- 6 x) + 14 - 2 x^{2} + (- 18) + 7 x = 2 x - 4

3 r^{2} + 27 r = 12

What are the solutions to the equation -2x^2-17x-53=0 ?
The solutions to the equation -2x^2-17x-53=0 are x=-17/4-i(3sqrt(15))/4 ,x=-17/4+i(3sqrt(15))/4
Find the zeros of -2x^2-17x-53=0
The zeros of -2x^2-17x-53=0 are x=-17/4-i(3sqrt(15))/4 ,x=-17/4+i(3sqrt(15))/4