What are the solutions to the equation 20250=-0.1x^2+90x ?

The solutions to the equation 20250=-0.1x^2+90x are x=450

Find the zeros of 20250=-0.1x^2+90x

The zeros of 20250=-0.1x^2+90x are x=450

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20250 = - 0.1 x^{2} + 90 x

x = 450

Solution steps

20250 = - 0.1 x^{2} + 90 x

Multiply both sides by

10

202500 = - x^{2} + 900 x

Switch sides

- x^{2} + 900 x = 202500

Move

202500

to the left side

- x^{2} + 900 x - 202500 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 900 \pm 90 0 ^{2} - 4 ( - 1 ) ( - 202500 )}{2 ( - 1 )}

90 0^{2} - 4 (- 1) (- 202500) = 0

x_{1, 2} = \frac{- 900 \pm 0}{2 ( - 1 )}

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

\frac{- 900}{2 ( - 1 )} = 450

x = 450

The solution to the quadratic equation is:

x = 450

What are the solutions to the equation 20250=-0.1x^2+90x ?
The solutions to the equation 20250=-0.1x^2+90x are x=450
Find the zeros of 20250=-0.1x^2+90x
The zeros of 20250=-0.1x^2+90x are x=450