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受欢迎的代数 >

(x-1)^2-2(x-1)=15

解答

(x - 1)^{2} - 2 (x - 1) = 15

解答

x = 6, x = - 2

求解步骤

(x - 1)^{2} - 2 (x - 1) = 15

展开

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

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

将

15

para o lado esquerdo

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

使用求根公式求解

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

(- 4)^{2} - 4 \cdot 1 \cdot (- 12) = 8

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

将解分隔开

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

x = \frac{- ( - 4 ) + 8}{2 \cdot 1} : 6

x = \frac{- ( - 4 ) - 8}{2 \cdot 1} : - 2

二次方程组的解是:

x = 6, x = - 2

作图

流行的例子

(2 x - 3) (7 x + 4) = 0

0 = 3 x^{2} + 5 x - 8

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4.9t^2+77.95t-950=0

4.9 t^{2} + 77.95 t - 950 = 0

153-104x+12x^2=0

153 - 104 x + 12 x^{2} = 0