What is the answer to sqrt(x^2)^2=9 ?

The answer to sqrt(x^2)^2=9 is x=3,x=-3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sqrt(x^2)^2=9

x^{2}^{2} = 9

x = 3, x = - 3

Solution steps

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

Move

9

to the left side

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

Factor

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

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x^{2} + 3 = 0 :

No Solution for

x \in R

Solve

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

x = 3, x = - 3

Verify Solutions:

x = 3

True

, x = - 3

True

The solutions are

x = 3, x = - 3

20 = 6 q + 1

2 + x = 3

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

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

243 - 75 = n