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

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

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

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

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

x = 100, x = 800

Solution steps

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

Multiply both sides by

10

- 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

\frac{13}{2 + 3 i}

x^{3} + 10 x^{2} + 12 x - 72

1 - \frac{1}{85} x^{2} = 0

16 x^{2} + 56 x + 49

x^{2} \cdot 2 x^{2}

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