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受欢迎的代数 >

(4x-1)(x-3)=15

解答

(4 x - 1) (x - 3) = 15

解答

x = 4, x = - \frac{3}{4}

+1

十进制

x = 4, x = - 0.75

求解步骤

(4 x - 1) (x - 3) = 15

展开

(4 x - 1) (x - 3) : 4 x^{2} - 13 x + 3

4 x^{2} - 13 x + 3 = 15

将

15

para o lado esquerdo

4 x^{2} - 13 x - 12 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 13 ) \pm ( - 13 ) ^{2} - 4 \cdot 4 ( - 12 )}{2 \cdot 4}

(- 13)^{2} - 4 \cdot 4 (- 12) = 19

x_{1, 2} = \frac{- ( - 13 ) \pm 19}{2 \cdot 4}

将解分隔开

x_{1} = \frac{- ( - 13 ) + 19}{2 \cdot 4}, x_{2} = \frac{- ( - 13 ) - 19}{2 \cdot 4}

x = \frac{- ( - 13 ) + 19}{2 \cdot 4} : 4

x = \frac{- ( - 13 ) - 19}{2 \cdot 4} : - \frac{3}{4}

二次方程组的解是:

x = 4, x = - \frac{3}{4}

作图

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