What are the solutions to the equation 200x-x^2=5x+8750 ?

The solutions to the equation 200x-x^2=5x+8750 are x=70,x=125

Find the zeros of 200x-x^2=5x+8750

The zeros of 200x-x^2=5x+8750 are x=70,x=125

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200 x - x^{2} = 5 x + 8750

x = 70, x = 125

Solution steps

200 x - x^{2} = 5 x + 8750

Move

8750

to the left side

200 x - x^{2} - 8750 = 5 x

Move

5 x

to the left side

- x^{2} + 195 x - 8750 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 195 \pm 19 5 ^{2} - 4 ( - 1 ) ( - 8750 )}{2 ( - 1 )}

19 5^{2} - 4 (- 1) (- 8750) = 55

x_{1, 2} = \frac{- 195 \pm 55}{2 ( - 1 )}

Separate the solutions

x_{1} = \frac{- 195 + 55}{2 ( - 1 )}, x_{2} = \frac{- 195 - 55}{2 ( - 1 )}

x = \frac{- 195 + 55}{2 ( - 1 )} : 70

x = \frac{- 195 - 55}{2 ( - 1 )} : 125

The solutions to the quadratic equation are:

x = 70, x = 125

x^{2} + 6 x y + 5 y^{2}

\frac{5}{5 ( 5 + 5 ) ^{2}}

4 x y - 3 x - 16 y + 12

6 x^{2} = 3

\frac{- 26}{- 5}

What are the solutions to the equation 200x-x^2=5x+8750 ?
The solutions to the equation 200x-x^2=5x+8750 are x=70,x=125
Find the zeros of 200x-x^2=5x+8750
The zeros of 200x-x^2=5x+8750 are x=70,x=125