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受欢迎的代数 >

266=0.68100X*1.79(4.75-0.4X)

解答

266 = 0.68 \cdot 100 \cdot X \cdot 1.79 \cdot (4.75 - 0.4 \cdot X)

解答

X = \frac{578.17 - 282476.5169}{97.376}, X = \frac{578.17 + 282476.5169}{97.376}

+1

十进制

X = 0.47942 \dots, X = 11.39557 \dots

求解步骤

266 = 0.68 \cdot 100 X \cdot 1.79 (4.75 - 0.4 X)

展开

0.68 \cdot 100 X \cdot 1.79 (4.75 - 0.4 X) : 578.17 X - 48.688 X^{2}

266 = 578.17 X - 48.688 X^{2}

交换两边

578.17 X - 48.688 X^{2} = 266

将

266

para o lado esquerdo

578.17 X - 48.688 X^{2} - 266 = 0

改写成标准形式

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

- 48.688 X^{2} + 578.17 X - 266 = 0

使用求根公式求解

X_{1, 2} = \frac{- 578.17 \pm 578.1 7 ^{2} - 4 ( - 48.688 ) ( - 266 )}{2 ( - 48.688 )}

578.1 7^{2} - 4 (- 48.688) (- 266) = 282476.5169

X_{1, 2} = \frac{- 578.17 \pm 282476.5169}{2 ( - 48.688 )}

将解分隔开

X_{1} = \frac{- 578.17 + 282476.5169}{2 ( - 48.688 )}, X_{2} = \frac{- 578.17 - 282476.5169}{2 ( - 48.688 )}

X = \frac{- 578.17 + 282476.5169}{2 ( - 48.688 )} : \frac{578.17 - 282476.5169}{97.376}

X = \frac{- 578.17 - 282476.5169}{2 ( - 48.688 )} : \frac{578.17 + 282476.5169}{97.376}

二次方程组的解是:

X = \frac{578.17 - 282476.5169}{97.376}, X = \frac{578.17 + 282476.5169}{97.376}

作图

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