What are the solutions to the equation 10000x-x^2=24000000 ?

The solutions to the equation 10000x-x^2=24000000 are x=4000,x=6000

Find the zeros of 10000x-x^2=24000000

The zeros of 10000x-x^2=24000000 are x=4000,x=6000

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10000 x - x^{2} = 24000000

x = 4000, x = 6000

Solution steps

10000 x - x^{2} = 24000000

Move

24000000

to the left side

10000 x - x^{2} - 24000000 = 0

Write in the standard form

a x^{2} + b x + c = 0

- x^{2} + 10000 x - 24000000 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 10000 \pm 1000 0 ^{2} - 4 ( - 1 ) ( - 24000000 )}{2 ( - 1 )}

1000 0^{2} - 4 (- 1) (- 24000000) = 2000

x_{1, 2} = \frac{- 10000 \pm 2000}{2 ( - 1 )}

Separate the solutions

x_{1} = \frac{- 10000 + 2000}{2 ( - 1 )}, x_{2} = \frac{- 10000 - 2000}{2 ( - 1 )}

x = \frac{- 10000 + 2000}{2 ( - 1 )} : 4000

x = \frac{- 10000 - 2000}{2 ( - 1 )} : 6000

The solutions to the quadratic equation are:

x = 4000, x = 6000

5 < ∣ 2 x - 5 ∣ \leq 9

140 ab - 60 a^{2} + 168 b - 72 a

x^{2} (x + 4) - 8 x (x + 4) + 16 (x + 4)

\frac{1}{2} + \frac{2}{2}

(2 i)^{2} - i (- 2 - i) + 5 - 2 i

What are the solutions to the equation 10000x-x^2=24000000 ?
The solutions to the equation 10000x-x^2=24000000 are x=4000,x=6000
Find the zeros of 10000x-x^2=24000000
The zeros of 10000x-x^2=24000000 are x=4000,x=6000