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受欢迎的代数 >

x(2x-3)+4(x+1)=2(3+2x)

解答

x (2 x - 3) + 4 (x + 1) = 2 (3 + 2 x)

解答

x = 2, x = - \frac{1}{2}

+1

十进制

x = 2, x = - 0.5

求解步骤

x (2 x - 3) + 4 (x + 1) = 2 (3 + 2 x)

展开

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

展开

2 (3 + 2 x) : 6 + 4 x

2 x^{2} + x + 4 = 6 + 4 x

将

4 x

para o lado esquerdo

2 x^{2} - 3 x + 4 = 6

将

6

para o lado esquerdo

2 x^{2} - 3 x - 2 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 3 ) \pm ( - 3 ) ^{2} - 4 \cdot 2 ( - 2 )}{2 \cdot 2}

(- 3)^{2} - 4 \cdot 2 (- 2) = 5

x_{1, 2} = \frac{- ( - 3 ) \pm 5}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- ( - 3 ) + 5}{2 \cdot 2}, x_{2} = \frac{- ( - 3 ) - 5}{2 \cdot 2}

x = \frac{- ( - 3 ) + 5}{2 \cdot 2} : 2

x = \frac{- ( - 3 ) - 5}{2 \cdot 2} : - \frac{1}{2}

二次方程组的解是:

x = 2, x = - \frac{1}{2}

作图

流行的例子

9p^2+272p+944=0

9 p^{2} + 272 p + 944 = 0

2 x^{2} + 5 x = 1200

(1 + x)^{2} + x^{2} = 11

12 x + 9 = - 4 x^{2}

5 t^{2} - 11 t = 12