What are the solutions to the equation 8000+55x-0.25x^2=9000 ?

The solutions to the equation 8000+55x-0.25x^2=9000 are x=20,x=200

Find the zeros of 8000+55x-0.25x^2=9000

The zeros of 8000+55x-0.25x^2=9000 are x=20,x=200

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8000 + 55 x - 0.25 x^{2} = 9000

x = 20, x = 200

Solution steps

8000 + 55 x - 0.25 x^{2} = 9000

Multiply both sides by

100

800000 + 5500 x - 25 x^{2} = 900000

Move

900000

to the left side

- 25 x^{2} + 5500 x - 100000 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 5500 \pm 550 0 ^{2} - 4 ( - 25 ) ( - 100000 )}{2 ( - 25 )}

550 0^{2} - 4 (- 25) (- 100000) = 4500

x_{1, 2} = \frac{- 5500 \pm 4500}{2 ( - 25 )}

Separate the solutions

x_{1} = \frac{- 5500 + 4500}{2 ( - 25 )}, x_{2} = \frac{- 5500 - 4500}{2 ( - 25 )}

x = \frac{- 5500 + 4500}{2 ( - 25 )} : 20

x = \frac{- 5500 - 4500}{2 ( - 25 )} : 200

The solutions to the quadratic equation are:

x = 20, x = 200

2 x^{2} - 4 x + 30 = 0

x, z (x) = 8 x^{2} - 16 x + 9

x^{2} + 3 x + 7 = 20

y^{2} + 16 y - 36 = 0

2 (x - 1)^{2} = 32

What are the solutions to the equation 8000+55x-0.25x^2=9000 ?
The solutions to the equation 8000+55x-0.25x^2=9000 are x=20,x=200
Find the zeros of 8000+55x-0.25x^2=9000
The zeros of 8000+55x-0.25x^2=9000 are x=20,x=200