SOLUTION: A square is represented by 4x^2 +28x+49 inches squared. Find the length of a side of the square in terms of x ( I need to set this up in equation format and solve.)

Question 113291This question is from textbook Beginning and Intermediate Algebra
: A square is represented by 4x^2 +28x+49 inches squared. Find the length of a side of the square in terms of x
( I need to set this up in equation format and solve.) This question is from textbook Beginning and Intermediate Algebra

Found 2 solutions by Earlsdon, MathLover1:
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
You are given the area of the square as:
and, as you know, the area of a square is where s is the length of one side of the square, so...

Let's factor the trinomial to see if it's a perfect square:
= it is a perfect square, so...
Now take the square root of both sides.
and this is the length of one side of the square in terms of x.

Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

You have:

Use the square root formula and find roots:

��..there is only one solution

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