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受欢迎的代数 >

(2x-7)(x-6)=18

解答

(2 x - 7) (x - 6) = 18

解答

x = 8, x = \frac{3}{2}

+1

十进制

x = 8, x = 1.5

求解步骤

(2 x - 7) (x - 6) = 18

展开

(2 x - 7) (x - 6) : 2 x^{2} - 19 x + 42

2 x^{2} - 19 x + 42 = 18

将

18

para o lado esquerdo

2 x^{2} - 19 x + 24 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 19 ) \pm ( - 19 ) ^{2} - 4 \cdot 2 \cdot 24}{2 \cdot 2}

(- 19)^{2} - 4 \cdot 2 \cdot 24 = 13

x_{1, 2} = \frac{- ( - 19 ) \pm 13}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- ( - 19 ) + 13}{2 \cdot 2}, x_{2} = \frac{- ( - 19 ) - 13}{2 \cdot 2}

x = \frac{- ( - 19 ) + 13}{2 \cdot 2} : 8

x = \frac{- ( - 19 ) - 13}{2 \cdot 2} : \frac{3}{2}

二次方程组的解是:

x = 8, x = \frac{3}{2}

作图

流行的例子

completesquare x^2-4x+10

co m pl e t es q u a re x^{2} - 4 x + 10

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