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受欢迎的代数 >

(x+2)(2x-3)=3x-7

解答

(x + 2) (2 x - 3) = 3 x - 7

解答

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

求解步骤

(x + 2) (2 x - 3) = 3 x - 7

展开

(x + 2) (2 x - 3) : 2 x^{2} + x - 6

2 x^{2} + x - 6 = 3 x - 7

将

7

para o lado esquerdo

2 x^{2} + x + 1 = 3 x

将

3 x

para o lado esquerdo

2 x^{2} - 2 x + 1 = 0

使用求根公式求解

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

化简

(- 2)^{2} - 4 \cdot 2 \cdot 1 : 2 i

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

将解分隔开

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

x = \frac{- ( - 2 ) + 2 i}{2 \cdot 2} : \frac{1}{2} + i \frac{1}{2}

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

二次方程组的解是:

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

作图

流行的例子

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

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

x^2-7x-10=-2x-4

x^{2} - 7 x - 10 = - 2 x - 4

solvefor x,4x^2-4y^2=0

so l v e f or x, 4 x^{2} - 4 y^{2} = 0

3 r^{2} + 3 r - 4 = 0

-5(2x-3)^2=-125

- 5 (2 x - 3)^{2} = - 125