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受欢迎的代数 >

sqrt(x^2)^2=9

解答

x^{2}^{2} = 9

解答

x = 3, x = - 3

求解步骤

(x^{2})^{2} = 9

将

9

para o lado esquerdo

(x^{2})^{2} - 9 = 0

因式分解

(x^{2})^{2} - 9 : (x^{2} + 3) (x^{2} - 3)

(x^{2} + 3) (x^{2} - 3) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x^{2} + 3 = 0 or x^{2} - 3 = 0

解

x^{2} + 3 = 0 : x \in R

无解

解

x^{2} - 3 = 0 : x = 3, x = - 3

x = 3, x = - 3

验证解:

x = 3

真

, x = - 3

真

解为

x = 3, x = - 3

作图

流行的例子

20 = 6 q + 1

sqrt(2+\sqrt{x)}=3

2 + x = 3

((sqrt(x)+2))/((sqrt(x)*(\sqrt{x)-2))}=0

\frac{( x + 2 )}{( x \cdot ( x - 2 ) )} = 0

x^{0.25} = \frac{1}{4}

sqrt(243)-sqrt(75)=sqrt(n)

243 - 75 = n