What are the solutions to the equation 8000=-0.1x^2+90x ?

The solutions to the equation 8000=-0.1x^2+90x are x=100,x=800

Find the zeros of 8000=-0.1x^2+90x

The zeros of 8000=-0.1x^2+90x are x=100,x=800

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8000 = - 0.1 x^{2} + 90 x

x = 100, x = 800

Solution steps

8000 = - 0.1 x^{2} + 90 x

Multiply both sides by

10

80000 = - x^{2} + 900 x

Switch sides

- x^{2} + 900 x = 80000

Move

80000

to the left side

- x^{2} + 900 x - 80000 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 900 \pm 90 0 ^{2} - 4 ( - 1 ) ( - 80000 )}{2 ( - 1 )}

90 0^{2} - 4 (- 1) (- 80000) = 700

x_{1, 2} = \frac{- 900 \pm 700}{2 ( - 1 )}

Separate the solutions

x_{1} = \frac{- 900 + 700}{2 ( - 1 )}, x_{2} = \frac{- 900 - 700}{2 ( - 1 )}

x = \frac{- 900 + 700}{2 ( - 1 )} : 100

x = \frac{- 900 - 700}{2 ( - 1 )} : 800

The solutions to the quadratic equation are:

x = 100, x = 800

9 < 5 x - 1 < 29

\frac{\frac{3}{4}}{\frac{1}{2}}

25 - 9 x^{2}

3 x + 5 = x + 15

x^{3} + 3 x^{2} - 9 x - 27

What are the solutions to the equation 8000=-0.1x^2+90x ?
The solutions to the equation 8000=-0.1x^2+90x are x=100,x=800
Find the zeros of 8000=-0.1x^2+90x
The zeros of 8000=-0.1x^2+90x are x=100,x=800