What are the solutions to the equation -0.002x^2+0.37x=8 ?

The solutions to the equation -0.002x^2+0.37x=8 are x=25,x=160

Find the zeros of -0.002x^2+0.37x=8

The zeros of -0.002x^2+0.37x=8 are x=25,x=160

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- 0.002 x^{2} + 0.37 x = 8

x = 25, x = 160

Solution steps

- 0.002 x^{2} + 0.37 x = 8

Multiply both sides by

1000

- 2 x^{2} + 370 x = 8000

Move

8000

to the left side

- 2 x^{2} + 370 x - 8000 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 370 \pm 37 0 ^{2} - 4 ( - 2 ) ( - 8000 )}{2 ( - 2 )}

37 0^{2} - 4 (- 2) (- 8000) = 270

x_{1, 2} = \frac{- 370 \pm 270}{2 ( - 2 )}

Separate the solutions

x_{1} = \frac{- 370 + 270}{2 ( - 2 )}, x_{2} = \frac{- 370 - 270}{2 ( - 2 )}

x = \frac{- 370 + 270}{2 ( - 2 )} : 25

x = \frac{- 370 - 270}{2 ( - 2 )} : 160

The solutions to the quadratic equation are:

x = 25, x = 160

x, 4 x^{2} + 6 x y - 3 y + 4 = 0

x, y = 1 - x^{2}

x^{2} + 6 x + 1 = 0

- 7 x + x^{2} - 170 = 0

x^{2} - 2 x + 46 = 0

What are the solutions to the equation -0.002x^2+0.37x=8 ?
The solutions to the equation -0.002x^2+0.37x=8 are x=25,x=160
Find the zeros of -0.002x^2+0.37x=8
The zeros of -0.002x^2+0.37x=8 are x=25,x=160