SOLUTION: a rectangle photograph of you pet goldfish is 7 inches long and 3 inches wide. because you love this picture so much you would like to enlarge it. the photo is enlarged by increasi

Algebra ->  Algebra  -> Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: a rectangle photograph of you pet goldfish is 7 inches long and 3 inches wide. because you love this picture so much you would like to enlarge it. the photo is enlarged by increasi      Log On

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Question 21331: a rectangle photograph of you pet goldfish is 7 inches long and 3 inches wide. because you love this picture so much you would like to enlarge it. the photo is enlarged by increasing its lengh and width by the same amount. if the area of the newly enlarged photo is 96 inches squared, what are the new dimensions of the enlarged photo?
Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
(x+7)(x+8)=96
x%5E2%2B8x%2B7x%2B56=96
x%5E2%2B15x%2B56-56=96-56
x%5E2%2B15x=40
x%5E2%2B15x-40=0
Use quadratic formula = x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ a=1, b=15, c=-40
x+=+%28-%2815%29%29+%2B-+sqrt%28+15%5E2-4%281%29%28-40%29+%29%29%2F%282%281%29%29+
x+=+%28-15%29+%2B-+sqrt%28+15%5E2%2B4%2840%29+%29%29%2F%282%29+
x+=+-15+%2B-+sqrt%28+385+%29%29/2
x=2.3 or x=17.3

I am pretty sure that the width = 2.3inches because 17.3inches in too long.



P.S.__> sorry the quadratic equations did not come up right