SOLUTION: Two television monitors sitting beside each other on a shelf in an appliance store have the same screen height. One has a conventional screen, which is 5 in wider than it is high.

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Question 31264This question is from textbook College Algebra
: Two television monitors sitting beside each other on a shelf in an appliance store have the same screen height. One has a conventional screen, which is 5 in wider than it is high. The other has a wider,high-definition screen, which is 2.4 times as wide as it is high. The diagonal measure of the wider screen is 14 in more than the diagonal measure of the smaller. What are the heights of the screens?(Assume that the height is greater than 10 in.)
Thank you so very much!This question is from textbook College Algebra

Answer by josmiceli(6786) About Me  (Show Source):
You can put this solution on YOUR website!
I had trouble with the numbers, so I plotted expressions for
the diagonals of each TV and the difference between them.
d%5B1%5D+=+sqrt%28%28x+%2B+5%29%5E2+%2B+x%5E2%29 and
d%5B2%5D+=+sqrt%28%282.4%2Ax%29%5E2+%2B+x%5E2%29 are the 1st plot
d%5B2%5D-+d%5B1%5D+=+sqrt%28%282.4%2Ax%29%5E2+%2B+x%5E2%29-+sqrt%28%28x+%2B+5%29%5E2+%2B+x%5E2%29 is the 2nd plot
If you locate y = 14 on the 2nd plot and locate x that
corresponds to it thats the answer for the height.
It looks like about 15
+graph%28+300%2C+500%2C+-4%2C+30%2C+-4%2C+30%2C+sqrt%28%28x%2B5%29%5E2+%2Bx%5E2%29%2Csqrt%28%282.4%2Ax%29%5E2+%2B+x%5E2%29%29+
+graph%28+300%2C+500%2C+-4%2C+30%2C+-4%2C+30%2C+-+sqrt%28%28x%2B5%29%5E2+%2Bx%5E2%29+%2B+sqrt%28%282.4%2Ax%29%5E2+%2B+x%5E2%29%29+