What are the solutions to the equation 0=-5x^2+8x-7 ?

The solutions to the equation 0=-5x^2+8x-7 are x= 4/5-i(sqrt(19))/5 ,x= 4/5+i(sqrt(19))/5

Find the zeros of 0=-5x^2+8x-7

The zeros of 0=-5x^2+8x-7 are x= 4/5-i(sqrt(19))/5 ,x= 4/5+i(sqrt(19))/5

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0 = - 5 x^{2} + 8 x - 7

x = \frac{4}{5} - i \frac{19}{5}, x = \frac{4}{5} + i \frac{19}{5}

Solution steps

0 = - 5 x^{2} + 8 x - 7

Switch sides

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

Solve with the quadratic formula

x_{1, 2} = \frac{- 8 \pm 8 ^{2} - 4 ( - 5 ) ( - 7 )}{2 ( - 5 )}

Simplify

8^{2} - 4 (- 5) (- 7) : 219 i

x_{1, 2} = \frac{- 8 \pm 2 19 i}{2 ( - 5 )}

Separate the solutions

x_{1} = \frac{- 8 + 2 19 i}{2 ( - 5 )}, x_{2} = \frac{- 8 - 2 19 i}{2 ( - 5 )}

x = \frac{- 8 + 2 19 i}{2 ( - 5 )} : \frac{4}{5} - i \frac{19}{5}

x = \frac{- 8 - 2 19 i}{2 ( - 5 )} : \frac{4}{5} + i \frac{19}{5}

The solutions to the quadratic equation are:

x = \frac{4}{5} - i \frac{19}{5}, x = \frac{4}{5} + i \frac{19}{5}

(x) = 2600 + 2 x + 0.001 x^{2}

- 0.05 q^{2} + 700 = 10 q + 220

- 3 x^{2} + 363 = 0

7 x^{2} + 10 = 2 x

3 x^{2} + 18 = - 9 x

What are the solutions to the equation 0=-5x^2+8x-7 ?
The solutions to the equation 0=-5x^2+8x-7 are x= 4/5-i(sqrt(19))/5 ,x= 4/5+i(sqrt(19))/5
Find the zeros of 0=-5x^2+8x-7
The zeros of 0=-5x^2+8x-7 are x= 4/5-i(sqrt(19))/5 ,x= 4/5+i(sqrt(19))/5