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受欢迎的代数 >

19.35x(19.35-x)=19.35

解答

19.35 x (19.35 - x) = 19.35

解答

x = \frac{374.4225 - 138694.51850 \dots}{38.7}, x = \frac{374.4225 + 138694.51850 \dots}{38.7}

+1

十进制

x = 0.05181 \dots, x = 19.29818 \dots

求解步骤

19.35 x (19.35 - x) = 19.35

展开

19.35 x (19.35 - x) : 374.4225 x - 19.35 x^{2}

374.4225 x - 19.35 x^{2} = 19.35

将

19.35

para o lado esquerdo

374.4225 x - 19.35 x^{2} - 19.35 = 0

改写成标准形式

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

- 19.35 x^{2} + 374.4225 x - 19.35 = 0

使用求根公式求解

x_{1, 2} = \frac{- 374.4225 \pm 374.422 5 ^{2} - 4 ( - 19.35 ) ( - 19.35 )}{2 ( - 19.35 )}

374.422 5^{2} - 4 (- 19.35) (- 19.35) = 138694.51850 \dots

x_{1, 2} = \frac{- 374.4225 \pm 138694.51850 \dots}{2 ( - 19.35 )}

将解分隔开

x_{1} = \frac{- 374.4225 + 138694.51850 \dots}{2 ( - 19.35 )}, x_{2} = \frac{- 374.4225 - 138694.51850 \dots}{2 ( - 19.35 )}

x = \frac{- 374.4225 + 138694.51850 \dots}{2 ( - 19.35 )} : \frac{374.4225 - 138694.51850 \dots}{38.7}

x = \frac{- 374.4225 - 138694.51850 \dots}{2 ( - 19.35 )} : \frac{374.4225 + 138694.51850 \dots}{38.7}

二次方程组的解是:

x = \frac{374.4225 - 138694.51850 \dots}{38.7}, x = \frac{374.4225 + 138694.51850 \dots}{38.7}

作图

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