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受欢迎的代数 >

(x)=-10x^2-2500x+1000000

解答

(x) = - 10 x^{2} - 2500 x + 1000000

解答

x = - \frac{2501 + 46255001}{20}, x = \frac{46255001 - 2501}{20}

+1

十进制

x = - 465.10514 \dots, x = 215.00514 \dots

求解步骤

(x) = - 10 x^{2} - 2500 x + 1000000

整理后得

x = - 10 x^{2} - 2500 x + 1000000

交换两边

- 10 x^{2} - 2500 x + 1000000 = x

将

x

para o lado esquerdo

- 10 x^{2} - 2501 x + 1000000 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 2501 ) \pm ( - 2501 ) ^{2} - 4 ( - 10 ) \cdot 1000000}{2 ( - 10 )}

(- 2501)^{2} - 4 (- 10) \cdot 1000000 = 46255001

x_{1, 2} = \frac{- ( - 2501 ) \pm 46255001}{2 ( - 10 )}

将解分隔开

x_{1} = \frac{- ( - 2501 ) + 46255001}{2 ( - 10 )}, x_{2} = \frac{- ( - 2501 ) - 46255001}{2 ( - 10 )}

x = \frac{- ( - 2501 ) + 46255001}{2 ( - 10 )} : - \frac{2501 + 46255001}{20}

x = \frac{- ( - 2501 ) - 46255001}{2 ( - 10 )} : \frac{46255001 - 2501}{20}

二次方程组的解是:

x = - \frac{2501 + 46255001}{20}, x = \frac{46255001 - 2501}{20}

作图

流行的例子

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