10000x-x^2=24000000

解答

10000 x - x^{2} = 24000000

x = 4000, x = 6000

求解步骤

10000 x - x^{2} = 24000000

将

24000000

para o lado esquerdo

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

改写成标准形式

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

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

使用求根公式求解

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 )}

将解分隔开

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

二次方程组的解是:

x = 4000, x = 6000

5 < ∣ 2 x - 5 ∣ \leq 9

f a c t or 140 ab - 60 a^{2} + 168 b - 72 a

f a c t or x^{2} (x + 4) - 8 x (x + 4) + 16 (x + 4)

s im pl i f y \frac{1}{2} + \frac{2}{2}

s im pl i f y (2 i)^{2} - i (- 2 - i) + 5 - 2 i