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受欢迎的代数 >

4x-10(-x-1)=6(x-2)6(x-2)

解答

4 x - 10 (- x - 1) = 6 (x - 2) 6 (x - 2)

解答

x = \frac{79 + 1417}{36}, x = \frac{79 - 1417}{36}

+1

十进制

x = 3.24008 \dots, x = 1.14880 \dots

求解步骤

4 x - 10 (- x - 1) = 6 (x - 2) \cdot 6 (x - 2)

展开

4 x - 10 (- x - 1) : 14 x + 10

展开

6 (x - 2) \cdot 6 (x - 2) : 36 x^{2} - 144 x + 144

14 x + 10 = 36 x^{2} - 144 x + 144

交换两边

36 x^{2} - 144 x + 144 = 14 x + 10

将

10

para o lado esquerdo

36 x^{2} - 144 x + 134 = 14 x

将

14 x

para o lado esquerdo

36 x^{2} - 158 x + 134 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 158 ) \pm ( - 158 ) ^{2} - 4 \cdot 36 \cdot 134}{2 \cdot 36}

(- 158)^{2} - 4 \cdot 36 \cdot 134 = 21417

x_{1, 2} = \frac{- ( - 158 ) \pm 2 1417}{2 \cdot 36}

将解分隔开

x_{1} = \frac{- ( - 158 ) + 2 1417}{2 \cdot 36}, x_{2} = \frac{- ( - 158 ) - 2 1417}{2 \cdot 36}

x = \frac{- ( - 158 ) + 2 1417}{2 \cdot 36} : \frac{79 + 1417}{36}

x = \frac{- ( - 158 ) - 2 1417}{2 \cdot 36} : \frac{79 - 1417}{36}

二次方程组的解是:

x = \frac{79 + 1417}{36}, x = \frac{79 - 1417}{36}

作图

流行的例子

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