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受欢迎的代数 >

(x)(1.06)(70000-x)(1.085)=70000+5000

解答

(x) (1.06) (70000 - x) (1.085) = 70000 + 5000

解答

x = \frac{- 8050 7 ^{2} - 345030 + 80507}{2.3002}, x = \frac{8050 7 ^{2} - 345030 + 80507}{2.3002}

+1

十进制

x = 0.93160 \dots, x = 69999.06839 \dots

求解步骤

(x) (1.06) (70000 - x) (1.085) = 70000 + 5000

展开

(x) (1.06) (70000 - x) (1.085) : 80507 x - 1.1501 x^{2}

80507 x - 1.1501 x^{2} = 75000

将

75000

para o lado esquerdo

80507 x - 1.1501 x^{2} - 75000 = 0

改写成标准形式

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

- 1.1501 x^{2} + 80507 x - 75000 = 0

使用求根公式求解

x_{1, 2} = \frac{- 80507 \pm 8050 7 ^{2} - 4 ( - 1.1501 ) ( - 75000 )}{2 ( - 1.1501 )}

8050 7^{2} - 4 (- 1.1501) (- 75000) = 8050 7^{2} - 345030

x_{1, 2} = \frac{- 80507 \pm 8050 7 ^{2} - 345030}{2 ( - 1.1501 )}

将解分隔开

x_{1} = \frac{- 80507 + 8050 7 ^{2} - 345030}{2 ( - 1.1501 )}, x_{2} = \frac{- 80507 - 8050 7 ^{2} - 345030}{2 ( - 1.1501 )}

x = \frac{- 80507 + 8050 7 ^{2} - 345030}{2 ( - 1.1501 )} : \frac{- 8050 7 ^{2} - 345030 + 80507}{2.3002}

x = \frac{- 80507 - 8050 7 ^{2} - 345030}{2 ( - 1.1501 )} : \frac{8050 7 ^{2} - 345030 + 80507}{2.3002}

二次方程组的解是:

x = \frac{- 8050 7 ^{2} - 345030 + 80507}{2.3002}, x = \frac{8050 7 ^{2} - 345030 + 80507}{2.3002}

作图

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