What are the solutions to the equation -6x^2-582=-60x ?

The solutions to the equation -6x^2-582=-60x are x=5-6sqrt(2)i,x=5+6sqrt(2)i

Find the zeros of -6x^2-582=-60x

The zeros of -6x^2-582=-60x are x=5-6sqrt(2)i,x=5+6sqrt(2)i

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- 6 x^{2} - 582 = - 60 x

x = 5 - 62 i, x = 5 + 62 i

Solution steps

- 6 x^{2} - 582 = - 60 x

Move

60 x

to the left side

- 6 x^{2} - 582 + 60 x = 0

Write in the standard form

a x^{2} + b x + c = 0

- 6 x^{2} + 60 x - 582 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 60 \pm 6 0 ^{2} - 4 ( - 6 ) ( - 582 )}{2 ( - 6 )}

Simplify

6 0^{2} - 4 (- 6) (- 582) : 722 i

x_{1, 2} = \frac{- 60 \pm 72 2 i}{2 ( - 6 )}

Separate the solutions

x_{1} = \frac{- 60 + 72 2 i}{2 ( - 6 )}, x_{2} = \frac{- 60 - 72 2 i}{2 ( - 6 )}

x = \frac{- 60 + 72 2 i}{2 ( - 6 )} : 5 - 62 i

x = \frac{- 60 - 72 2 i}{2 ( - 6 )} : 5 + 62 i

The solutions to the quadratic equation are:

x = 5 - 62 i, x = 5 + 62 i

- 8 x^{2} + 10 x + 25 = 0

x (x - 10) + 21 = 0

6 x^{2} - 3 x = 0

7 x^{2} - 15 x + 8 = 0

2 t (t + 1) = 7

What are the solutions to the equation -6x^2-582=-60x ?
The solutions to the equation -6x^2-582=-60x are x=5-6sqrt(2)i,x=5+6sqrt(2)i
Find the zeros of -6x^2-582=-60x
The zeros of -6x^2-582=-60x are x=5-6sqrt(2)i,x=5+6sqrt(2)i