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受欢迎的代数 >

(0.324-2x)^2*0.018=(0.0435+x)(0.0777+x)

解答

(0.324 - 2 x)^{2} \cdot 0.018 = (0.0435 + x) (0.0777 + x)

解答

x = - \frac{0.144528 + 0.0153560448}{1.856}, x = - \frac{0.144528 - 0.0153560448}{1.856}

+1

十进制

x = - 0.14463 \dots, x = - 0.01110 \dots

求解步骤

(0.324 - 2 x)^{2} \cdot 0.018 = (0.0435 + x) (0.0777 + x)

展开

(0.324 - 2 x)^{2} \cdot 0.018 : 0.001889568 - 0.023328 x + 0.072 x^{2}

展开

(0.0435 + x) (0.0777 + x) : 0.00337995 + 0.1212 x + x^{2}

0.001889568 - 0.023328 x + 0.072 x^{2} = 0.00337995 + 0.1212 x + x^{2}

将

x^{2}

para o lado esquerdo

0.001889568 - 0.023328 x - 0.928 x^{2} = 0.00337995 + 0.1212 x

将

0.1212 x

para o lado esquerdo

- 0.928 x^{2} - 0.144528 x + 0.001889568 = 0.00337995

将

0.00337995

para o lado esquerdo

- 0.928 x^{2} - 0.144528 x - 0.001490382 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 0.144528 ) \pm ( - 0.144528 ) ^{2} - 4 ( - 0.928 ) ( - 0.001490382 )}{2 ( - 0.928 )}

(- 0.144528)^{2} - 4 (- 0.928) (- 0.001490382) = 0.0153560448

x_{1, 2} = \frac{- ( - 0.144528 ) \pm 0.0153560448}{2 ( - 0.928 )}

将解分隔开

x_{1} = \frac{- ( - 0.144528 ) + 0.0153560448}{2 ( - 0.928 )}, x_{2} = \frac{- ( - 0.144528 ) - 0.0153560448}{2 ( - 0.928 )}

x = \frac{- ( - 0.144528 ) + 0.0153560448}{2 ( - 0.928 )} : - \frac{0.144528 + 0.0153560448}{1.856}

x = \frac{- ( - 0.144528 ) - 0.0153560448}{2 ( - 0.928 )} : - \frac{0.144528 - 0.0153560448}{1.856}

二次方程组的解是:

x = - \frac{0.144528 + 0.0153560448}{1.856}, x = - \frac{0.144528 - 0.0153560448}{1.856}

作图

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