Question

If the area of the square is (x^2+6x+9) find its side.

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Answer 1

Step-by-step explanation:

area of the square=x^2+6x+9

side^2=x^2+6x+9

side=square root of x^2+6x+9

(let us indicate square root symbol (#))

=#(x^2+6x+9)

=#(x^2+3x+3x+9)

=#(x(x+3)+3(x+3))

=#((x+3)(x+3))

=#(x+3)^2

=x+3

the side of the square is x+3