What are the solutions to the equation -6x^2-119x-875=x-5 ?

The solutions to the equation -6x^2-119x-875=x-5 are x=-10-3sqrt(5)i,x=-10+3sqrt(5)i

Find the zeros of -6x^2-119x-875=x-5

The zeros of -6x^2-119x-875=x-5 are x=-10-3sqrt(5)i,x=-10+3sqrt(5)i

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- 6 x^{2} - 119 x - 875 = x - 5

x = - 10 - 35 i, x = - 10 + 35 i

Solution steps

- 6 x^{2} - 119 x - 875 = x - 5

Move

5

to the left side

- 6 x^{2} - 119 x - 870 = x

Move

x

to the left side

- 6 x^{2} - 120 x - 870 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 120 ) \pm ( - 120 ) ^{2} - 4 ( - 6 ) ( - 870 )}{2 ( - 6 )}

Simplify

(- 120)^{2} - 4 (- 6) (- 870) : 365 i

x_{1, 2} = \frac{- ( - 120 ) \pm 36 5 i}{2 ( - 6 )}

Separate the solutions

x_{1} = \frac{- ( - 120 ) + 36 5 i}{2 ( - 6 )}, x_{2} = \frac{- ( - 120 ) - 36 5 i}{2 ( - 6 )}

x = \frac{- ( - 120 ) + 36 5 i}{2 ( - 6 )} : - 10 - 35 i

x = \frac{- ( - 120 ) - 36 5 i}{2 ( - 6 )} : - 10 + 35 i

The solutions to the quadratic equation are:

x = - 10 - 35 i, x = - 10 + 35 i

x^{2} + 3 x + \frac{9}{4}

x^{2} + 3 x - \frac{27}{4} = 0

a^{2} - 4 a + 6 = 0

x^{2} = 24 - 2 x

5 x^{2} + 34 x = 7

What are the solutions to the equation -6x^2-119x-875=x-5 ?
The solutions to the equation -6x^2-119x-875=x-5 are x=-10-3sqrt(5)i,x=-10+3sqrt(5)i
Find the zeros of -6x^2-119x-875=x-5
The zeros of -6x^2-119x-875=x-5 are x=-10-3sqrt(5)i,x=-10+3sqrt(5)i