Word problem leading to quadratic
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I can only make sense of this question if the area of the square is x². The side of the square is 2x+2.

The area is (2x+2)²=x², so (2x+2)²-x²=0, (2x+2-x)(2x+2+x)=(x+2)(3x+2)=0.

So x=-2 or -⅔. The side length is therefore 2x+2=-2 or -4/3+2=⅔. The side length can’t be negative so x=-⅔, making the side length ⅔.

by Top Rated User (642k points)

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