What are the solutions to the equation -5x^2-30x-150=0 ?

The solutions to the equation -5x^2-30x-150=0 are x=-3-sqrt(21)i,x=-3+sqrt(21)i

Find the zeros of -5x^2-30x-150=0

The zeros of -5x^2-30x-150=0 are x=-3-sqrt(21)i,x=-3+sqrt(21)i

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- 5 x^{2} - 30 x - 150 = 0

x = - 3 - 21 i, x = - 3 + 21 i

Solution steps

- 5 x^{2} - 30 x - 150 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 30 ) \pm ( - 30 ) ^{2} - 4 ( - 5 ) ( - 150 )}{2 ( - 5 )}

Simplify

(- 30)^{2} - 4 (- 5) (- 150) : 1021 i

x_{1, 2} = \frac{- ( - 30 ) \pm 10 21 i}{2 ( - 5 )}

Separate the solutions

x_{1} = \frac{- ( - 30 ) + 10 21 i}{2 ( - 5 )}, x_{2} = \frac{- ( - 30 ) - 10 21 i}{2 ( - 5 )}

x = \frac{- ( - 30 ) + 10 21 i}{2 ( - 5 )} : - 3 - 21 i

x = \frac{- ( - 30 ) - 10 21 i}{2 ( - 5 )} : - 3 + 21 i

The solutions to the quadratic equation are:

x = - 3 - 21 i, x = - 3 + 21 i

x^{2} + x - 182 = 0

6 x^{2} = 54 x

x (x - 6) = 7

x + 15 = \frac{( x - 9 ) ^{2}}{2}

2 a^{2} - 5 a + 5 = 0

What are the solutions to the equation -5x^2-30x-150=0 ?
The solutions to the equation -5x^2-30x-150=0 are x=-3-sqrt(21)i,x=-3+sqrt(21)i
Find the zeros of -5x^2-30x-150=0
The zeros of -5x^2-30x-150=0 are x=-3-sqrt(21)i,x=-3+sqrt(21)i