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Here is another... A tv screen is 2 inches longer than it's height. If the diagonal length of the screen is 2 inches more than it's length, what is the diagonal measurement of the screen?
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put height = x, length = x+2 and diagonal = x+4 then use pythatoras \[x^2+(x+2)^2=(x+4)^2\]
\[x^2+x^2+4x+4=x^2+8x+16\] \[2x^2+4x+4=x^2+8x+16\] \[x^2-4x-12=0\]
\[(x-6)(x+2)=0\] \[x-6=0\] \[x=6\] we can ignore the other answer because it is negative
awesome thank you!!!
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