What are the solutions to the equation -5x^2+x-3=0 ?

The solutions to the equation -5x^2+x-3=0 are x= 1/10-i(sqrt(59))/(10),x= 1/10+i(sqrt(59))/(10)

Find the zeros of -5x^2+x-3=0

The zeros of -5x^2+x-3=0 are x= 1/10-i(sqrt(59))/(10),x= 1/10+i(sqrt(59))/(10)

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

x = \frac{1}{10} - i \frac{59}{10}, x = \frac{1}{10} + i \frac{59}{10}

Solution steps

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

Solve with the quadratic formula

x_{1, 2} = \frac{- 1 \pm 1 ^{2} - 4 ( - 5 ) ( - 3 )}{2 ( - 5 )}

Simplify

1^{2} - 4 (- 5) (- 3) : 59 i

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

Separate the solutions

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

x = \frac{- 1 + 59 i}{2 ( - 5 )} : \frac{1}{10} - i \frac{59}{10}

x = \frac{- 1 - 59 i}{2 ( - 5 )} : \frac{1}{10} + i \frac{59}{10}

The solutions to the quadratic equation are:

x = \frac{1}{10} - i \frac{59}{10}, x = \frac{1}{10} + i \frac{59}{10}

x, 3 x^{2} - 6 x y = 0

x, x^{2} - 5 x + 6 = y

3 w (w - 2) = 10

x^{2} - 17 x - 18 = 0

3 x^{2} = - 8 x + 8

What are the solutions to the equation -5x^2+x-3=0 ?
The solutions to the equation -5x^2+x-3=0 are x= 1/10-i(sqrt(59))/(10),x= 1/10+i(sqrt(59))/(10)
Find the zeros of -5x^2+x-3=0
The zeros of -5x^2+x-3=0 are x= 1/10-i(sqrt(59))/(10),x= 1/10+i(sqrt(59))/(10)