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受欢迎的代数 >

(19x-2x)(35-2x)=465

解答

(19 x - 2 x) (35 - 2 x) = 465

解答

x = \frac{595 - 290785}{68}, x = \frac{595 + 290785}{68}

+1

十进制

x = 0.81992 \dots, x = 16.68007 \dots

求解步骤

(19 x - 2 x) (35 - 2 x) = 465

展开

(19 x - 2 x) (35 - 2 x) : 595 x - 34 x^{2}

595 x - 34 x^{2} = 465

将

465

para o lado esquerdo

595 x - 34 x^{2} - 465 = 0

改写成标准形式

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

- 34 x^{2} + 595 x - 465 = 0

使用求根公式求解

x_{1, 2} = \frac{- 595 \pm 59 5 ^{2} - 4 ( - 34 ) ( - 465 )}{2 ( - 34 )}

59 5^{2} - 4 (- 34) (- 465) = 290785

x_{1, 2} = \frac{- 595 \pm 290785}{2 ( - 34 )}

将解分隔开

x_{1} = \frac{- 595 + 290785}{2 ( - 34 )}, x_{2} = \frac{- 595 - 290785}{2 ( - 34 )}

x = \frac{- 595 + 290785}{2 ( - 34 )} : \frac{595 - 290785}{68}

x = \frac{- 595 - 290785}{2 ( - 34 )} : \frac{595 + 290785}{68}

二次方程组的解是:

x = \frac{595 - 290785}{68}, x = \frac{595 + 290785}{68}

作图

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