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受欢迎的代数 >

(x+1)^2-20(x+1)=-64

解答

(x + 1)^{2} - 20 (x + 1) = - 64

解答

x = 15, x = 3

求解步骤

(x + 1)^{2} - 20 (x + 1) = - 64

展开

(x + 1)^{2} - 20 (x + 1) : x^{2} - 18 x - 19

x^{2} - 18 x - 19 = - 64

将

64

para o lado esquerdo

x^{2} - 18 x + 45 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 18 ) \pm ( - 18 ) ^{2} - 4 \cdot 1 \cdot 45}{2 \cdot 1}

(- 18)^{2} - 4 \cdot 1 \cdot 45 = 12

x_{1, 2} = \frac{- ( - 18 ) \pm 12}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - 18 ) + 12}{2 \cdot 1}, x_{2} = \frac{- ( - 18 ) - 12}{2 \cdot 1}

x = \frac{- ( - 18 ) + 12}{2 \cdot 1} : 15

x = \frac{- ( - 18 ) - 12}{2 \cdot 1} : 3

二次方程组的解是:

x = 15, x = 3

作图

流行的例子

因式分解 ac-a-bc+b+c^2-c

f a c t or a c - a - b c + b + c^{2} - c

(x - 2)^{2} - 4 = x + 1

s im pl i f y - \frac{2}{3} \cdot \frac{3}{2}

(x - 3)^{2} = 144

化简 (sqrt(x))/(sqrt(x))

s im pl i f y \frac{x}{x}