What are the solutions to the equation -0.1x^2+14x+3=1000 ?

The solutions to the equation -0.1x^2+14x+3=1000 are x=70-13sqrt(30)i,x=70+13sqrt(30)i

Find the zeros of -0.1x^2+14x+3=1000

The zeros of -0.1x^2+14x+3=1000 are x=70-13sqrt(30)i,x=70+13sqrt(30)i

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- 0.1 x^{2} + 14 x + 3 = 1000

x = 70 - 1330 i, x = 70 + 1330 i

Solution steps

- 0.1 x^{2} + 14 x + 3 = 1000

Multiply both sides by

10

- x^{2} + 140 x + 30 = 10000

Move

10000

to the left side

- x^{2} + 140 x - 9970 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 140 \pm 14 0 ^{2} - 4 ( - 1 ) ( - 9970 )}{2 ( - 1 )}

Simplify

14 0^{2} - 4 (- 1) (- 9970) : 2630 i

x_{1, 2} = \frac{- 140 \pm 26 30 i}{2 ( - 1 )}

Separate the solutions

x_{1} = \frac{- 140 + 26 30 i}{2 ( - 1 )}, x_{2} = \frac{- 140 - 26 30 i}{2 ( - 1 )}

x = \frac{- 140 + 26 30 i}{2 ( - 1 )} : 70 - 1330 i

x = \frac{- 140 - 26 30 i}{2 ( - 1 )} : 70 + 1330 i

The solutions to the quadratic equation are:

x = 70 - 1330 i, x = 70 + 1330 i

x (x - 5) = 4 x

16 x^{2} + 22 = 0

x^{2} + a x - b x = ab

3 x^{2} - 60 x + 741 = 0

10 + x (x - 2) = 2

What are the solutions to the equation -0.1x^2+14x+3=1000 ?
The solutions to the equation -0.1x^2+14x+3=1000 are x=70-13sqrt(30)i,x=70+13sqrt(30)i
Find the zeros of -0.1x^2+14x+3=1000
The zeros of -0.1x^2+14x+3=1000 are x=70-13sqrt(30)i,x=70+13sqrt(30)i