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受欢迎的代数 >

(x+1)(2x-3)=5

解答

(x + 1) (2 x - 3) = 5

解答

x = \frac{1 + 65}{4}, x = \frac{1 - 65}{4}

+1

十进制

x = 2.26556 \dots, x = - 1.76556 \dots

求解步骤

(x + 1) (2 x - 3) = 5

展开

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

2 x^{2} - x - 3 = 5

将

5

para o lado esquerdo

2 x^{2} - x - 8 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 1 ) \pm ( - 1 ) ^{2} - 4 \cdot 2 ( - 8 )}{2 \cdot 2}

(- 1)^{2} - 4 \cdot 2 (- 8) = 65

x_{1, 2} = \frac{- ( - 1 ) \pm 65}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- ( - 1 ) + 65}{2 \cdot 2}, x_{2} = \frac{- ( - 1 ) - 65}{2 \cdot 2}

x = \frac{- ( - 1 ) + 65}{2 \cdot 2} : \frac{1 + 65}{4}

x = \frac{- ( - 1 ) - 65}{2 \cdot 2} : \frac{1 - 65}{4}

二次方程组的解是:

x = \frac{1 + 65}{4}, x = \frac{1 - 65}{4}

作图

流行的例子

x^{2} + \frac{1}{2} x - 3 = 0

solvefor x,f=x^2-6x+m-3

so l v e f or x, f = x^{2} - 6 x + m - 3

x^{2} + x = \frac{19}{4}

2 x (x - 2) + 2 = 5 - 3 x

y^{2} - 3 y - 10 = 0