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受欢迎的代数 >

(sqrt(x)+1)^2=100

解答

(x + 1)^{2} = 100

解答

x = 81

求解步骤

(x + 1)^{2} = 100

将

100

para o lado esquerdo

(x)^{2} + 2 x - 99 = 0

因式分解

(x)^{2} + 2 x - 99 : (x - 9) (x + 11)

(x - 9) (x + 11) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x - 9 = 0 or x + 11 = 0

解

x - 9 = 0 : x = 81

解

x + 11 = 0 : x \in R

无解

x = 81

验证解:

x = 81

真

解是

x = 81

作图

流行的例子

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