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

The solutions to the equation 0=-5x^2+3x-2 are x= 3/10-i(sqrt(31))/(10),x= 3/10+i(sqrt(31))/(10)

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

The zeros of 0=-5x^2+3x-2 are x= 3/10-i(sqrt(31))/(10),x= 3/10+i(sqrt(31))/(10)

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

x = \frac{3}{10} - i \frac{31}{10}, x = \frac{3}{10} + i \frac{31}{10}

Solution steps

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

Switch sides

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

Solve with the quadratic formula

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

Simplify

3^{2} - 4 (- 5) (- 2) : 31 i

x_{1, 2} = \frac{- 3 \pm 31 i}{2 ( - 5 )}

Separate the solutions

x_{1} = \frac{- 3 + 31 i}{2 ( - 5 )}, x_{2} = \frac{- 3 - 31 i}{2 ( - 5 )}

x = \frac{- 3 + 31 i}{2 ( - 5 )} : \frac{3}{10} - i \frac{31}{10}

x = \frac{- 3 - 31 i}{2 ( - 5 )} : \frac{3}{10} + i \frac{31}{10}

The solutions to the quadratic equation are:

x = \frac{3}{10} - i \frac{31}{10}, x = \frac{3}{10} + i \frac{31}{10}

f^{2} + 2 f - 8 = 0

- 5 x^{2} + 600 x - 18000 = 0

(3 x + 2)^{2} = 8

15 x^{2} + 16 x - 15 = 0

36 x^{2} + 30 x = 0

What are the solutions to the equation 0=-5x^2+3x-2 ?
The solutions to the equation 0=-5x^2+3x-2 are x= 3/10-i(sqrt(31))/(10),x= 3/10+i(sqrt(31))/(10)
Find the zeros of 0=-5x^2+3x-2
The zeros of 0=-5x^2+3x-2 are x= 3/10-i(sqrt(31))/(10),x= 3/10+i(sqrt(31))/(10)