What are the solutions to the equation -5x^2-8x=15 ?

The solutions to the equation -5x^2-8x=15 are x=-4/5-i(sqrt(59))/5 ,x=-4/5+i(sqrt(59))/5

Find the zeros of -5x^2-8x=15

The zeros of -5x^2-8x=15 are x=-4/5-i(sqrt(59))/5 ,x=-4/5+i(sqrt(59))/5

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- 5 x^{2} - 8 x = 15

x = - \frac{4}{5} - i \frac{59}{5}, x = - \frac{4}{5} + i \frac{59}{5}

Solution steps

- 5 x^{2} - 8 x = 15

Move

15

to the left side

- 5 x^{2} - 8 x - 15 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 ( - 5 ) ( - 15 )}{2 ( - 5 )}

Simplify

(- 8)^{2} - 4 (- 5) (- 15) : 259 i

x_{1, 2} = \frac{- ( - 8 ) \pm 2 59 i}{2 ( - 5 )}

Separate the solutions

x_{1} = \frac{- ( - 8 ) + 2 59 i}{2 ( - 5 )}, x_{2} = \frac{- ( - 8 ) - 2 59 i}{2 ( - 5 )}

x = \frac{- ( - 8 ) + 2 59 i}{2 ( - 5 )} : - \frac{4}{5} - i \frac{59}{5}

x = \frac{- ( - 8 ) - 2 59 i}{2 ( - 5 )} : - \frac{4}{5} + i \frac{59}{5}

The solutions to the quadratic equation are:

x = - \frac{4}{5} - i \frac{59}{5}, x = - \frac{4}{5} + i \frac{59}{5}

5^{2} - 20

\frac{2 ^{2 x} - 2 ^{x}}{2 ^{x} - 1}

- 1 = \frac{- b}{1}

5 y^{2} + 16 y + 3 = 0

What are the solutions to the equation -5x^2-8x=15 ?
The solutions to the equation -5x^2-8x=15 are x=-4/5-i(sqrt(59))/5 ,x=-4/5+i(sqrt(59))/5
Find the zeros of -5x^2-8x=15
The zeros of -5x^2-8x=15 are x=-4/5-i(sqrt(59))/5 ,x=-4/5+i(sqrt(59))/5