What are the solutions to the equation -5x^2+100x=1400 ?

The solutions to the equation -5x^2+100x=1400 are x=10-6sqrt(5)i,x=10+6sqrt(5)i

Find the zeros of -5x^2+100x=1400

The zeros of -5x^2+100x=1400 are x=10-6sqrt(5)i,x=10+6sqrt(5)i

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- 5 x^{2} + 100 x = 1400

x = 10 - 65 i, x = 10 + 65 i

Solution steps

- 5 x^{2} + 100 x = 1400

Move

1400

to the left side

- 5 x^{2} + 100 x - 1400 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 100 \pm 10 0 ^{2} - 4 ( - 5 ) ( - 1400 )}{2 ( - 5 )}

Simplify

10 0^{2} - 4 (- 5) (- 1400) : 605 i

x_{1, 2} = \frac{- 100 \pm 60 5 i}{2 ( - 5 )}

Separate the solutions

x_{1} = \frac{- 100 + 60 5 i}{2 ( - 5 )}, x_{2} = \frac{- 100 - 60 5 i}{2 ( - 5 )}

x = \frac{- 100 + 60 5 i}{2 ( - 5 )} : 10 - 65 i

x = \frac{- 100 - 60 5 i}{2 ( - 5 )} : 10 + 65 i

The solutions to the quadratic equation are:

x = 10 - 65 i, x = 10 + 65 i

x^{2} + 12 x + 32

9 k^{2} - 10 = 6

6 v^{2} + 7 = - 21

x^{2} + 6 x - 187 = 0

30 x - 2 x^{2} = 0

What are the solutions to the equation -5x^2+100x=1400 ?
The solutions to the equation -5x^2+100x=1400 are x=10-6sqrt(5)i,x=10+6sqrt(5)i
Find the zeros of -5x^2+100x=1400
The zeros of -5x^2+100x=1400 are x=10-6sqrt(5)i,x=10+6sqrt(5)i