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受欢迎的代数 >

(((x+5))/5)*(((x-6))/7)=6

解答

(\frac{( x + 5 )}{5}) \cdot (\frac{( x - 6 )}{7}) = 6

解答

x = 16, x = - 15

求解步骤

(\frac{( x + 5 )}{5}) (\frac{( x - 6 )}{7}) = 6

展开

(\frac{x + 5}{5}) (\frac{x - 6}{7}) : \frac{x ^{2}}{35} - \frac{x}{35} - \frac{6}{7}

\frac{x ^{2}}{35} - \frac{x}{35} - \frac{6}{7} = 6

将

6

para o lado esquerdo

- \frac{48}{7} + \frac{x ^{2} - x}{35} = 0

改写成标准形式

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

\frac{1 \cdot x ^{2}}{35} - \frac{x}{35} - \frac{48}{7} = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - \frac{1}{35} ) \pm ( - \frac{1}{35} ) ^{2} - 4 \cdot \frac{1}{35} ( - \frac{48}{7} )}{2 \cdot \frac{1}{35}}

(- \frac{1}{35})^{2} - 4 \cdot \frac{1}{35} (- \frac{48}{7}) = \frac{31}{35}

x_{1, 2} = \frac{- ( - \frac{1}{35} ) \pm \frac{31}{35}}{2 \cdot \frac{1}{35}}

将解分隔开

x_{1} = \frac{- ( - \frac{1}{35} ) + \frac{31}{35}}{2 \cdot \frac{1}{35}}, x_{2} = \frac{- ( - \frac{1}{35} ) - \frac{31}{35}}{2 \cdot \frac{1}{35}}

x = \frac{- ( - \frac{1}{35} ) + \frac{31}{35}}{2 \frac{1}{35}} : 16

x = \frac{- ( - \frac{1}{35} ) - \frac{31}{35}}{2 \frac{1}{35}} : - 15

二次方程组的解是:

x = 16, x = - 15

作图

流行的例子

a = 36 y^{2}

x^2=5-((x^2)/4)

x^{2} = 5 - (\frac{x ^{2}}{4})

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

solvefor y,b=(x^2-2xy-3)(-x*y)

so l v e f or y, b = (x^{2} - 2 x y - 3) (- x \cdot y)

140 = 110 (1 + r)^{2}