What are the solutions to the equation 0=-3x^2-72x-537 ?

The solutions to the equation 0=-3x^2-72x-537 are x=-12-sqrt(35)i,x=-12+sqrt(35)i

Find the zeros of 0=-3x^2-72x-537

The zeros of 0=-3x^2-72x-537 are x=-12-sqrt(35)i,x=-12+sqrt(35)i

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0 = - 3 x^{2} - 72 x - 537

x = - 12 - 35 i, x = - 12 + 35 i

Solution steps

0 = - 3 x^{2} - 72 x - 537

Switch sides

- 3 x^{2} - 72 x - 537 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 72 ) \pm ( - 72 ) ^{2} - 4 ( - 3 ) ( - 537 )}{2 ( - 3 )}

Simplify

(- 72)^{2} - 4 (- 3) (- 537) : 635 i

x_{1, 2} = \frac{- ( - 72 ) \pm 6 35 i}{2 ( - 3 )}

Separate the solutions

x_{1} = \frac{- ( - 72 ) + 6 35 i}{2 ( - 3 )}, x_{2} = \frac{- ( - 72 ) - 6 35 i}{2 ( - 3 )}

x = \frac{- ( - 72 ) + 6 35 i}{2 ( - 3 )} : - 12 - 35 i

x = \frac{- ( - 72 ) - 6 35 i}{2 ( - 3 )} : - 12 + 35 i

The solutions to the quadratic equation are:

x = - 12 - 35 i, x = - 12 + 35 i

x^{2} + 65 = 90

x^{2} - 14 x + 20 = 3

- x^{2} + 13 x - 5 = 7 x

0 = x^{2} - 3 x - 3

0 = x^{2} - 3 x + 5

What are the solutions to the equation 0=-3x^2-72x-537 ?
The solutions to the equation 0=-3x^2-72x-537 are x=-12-sqrt(35)i,x=-12+sqrt(35)i
Find the zeros of 0=-3x^2-72x-537
The zeros of 0=-3x^2-72x-537 are x=-12-sqrt(35)i,x=-12+sqrt(35)i