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受欢迎的代数 >

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

解答

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

解答

x = 2 + 6, x = 2 - 6

+1

十进制

x = 4.44948 \dots, x = - 0.44948 \dots

求解步骤

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

展开

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

x^{2} - 4 x + 3 = 5

将

5

para o lado esquerdo

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

使用求根公式求解

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

(- 4)^{2} - 4 \cdot 1 \cdot (- 2) = 26

x_{1, 2} = \frac{- ( - 4 ) \pm 2 6}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - 4 ) + 2 6}{2 \cdot 1}, x_{2} = \frac{- ( - 4 ) - 2 6}{2 \cdot 1}

x = \frac{- ( - 4 ) + 2 6}{2 \cdot 1} : 2 + 6

x = \frac{- ( - 4 ) - 2 6}{2 \cdot 1} : 2 - 6

二次方程组的解是:

x = 2 + 6, x = 2 - 6

作图

流行的例子

4 n^{2} + 1 = 157

solvefor y,10x^2-3y^2=10

so l v e f or y, 10 x^{2} - 3 y^{2} = 10

119.286-20x+7.5x^2=0

119.286 - 20 x + 7.5 x^{2} = 0

completesquare 5x^2-25x+12

co m pl e t es q u a re 5 x^{2} - 25 x + 12

5^{2} = a^{2} + 3^{2}