What is the answer to sqrt(x)sqrt(x)=4 ?

The answer to sqrt(x)sqrt(x)=4 is x=4

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sqrt(x)sqrt(x)=4

x x = 4

x = 4

Solution steps

x x = 4

Move

4

to the left side

(x)^{2} - 4 = 0

Factor

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

(x + 2) (x - 2) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 2 = 0 or x - 2 = 0

Solve

x + 2 = 0 :

No Solution for

x \in R

Solve

x - 2 = 0 : x = 4

x = 4

Verify Solutions:

x = 4

True

The solution is

x = 4

34 - 6 x = x - 7

8 - x + 2 = x - 4

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

4 x - 4 = x - 1

x^{2} - 5 x + 1 + x^{2} - 5 x = 1