document.write( "Question 480854: Each cycle of a screen saver program generates and then erases numbers of little animated figures called froobies. The formula P=-2x^2+106x-674 models the population, P, of froobies after x minutes within a cycle. How many minutes into a cycle will the froobie population reach 118? \n" ); document.write( "
Algebra.Com's Answer #329274 by nerdybill(7384)\"\" \"About 
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Each cycle of a screen saver program generates and then erases numbers of little animated figures called froobies. The formula P=-2x^2+106x-674 models the population, P, of froobies after x minutes within a cycle. How many minutes into a cycle will the froobie population reach 118?
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\n" ); document.write( "Given:
\n" ); document.write( "P=-2x^2+106x-674
\n" ); document.write( "Set P to 118 and solve for x:
\n" ); document.write( "118=-2x^2+106x-674
\n" ); document.write( "0 = -2x^2+106x-792
\n" ); document.write( "0 = 2x^2-106x+792
\n" ); document.write( "0 = x^2-53x+396
\n" ); document.write( "factoring we have:
\n" ); document.write( "0 = (x-9)(x-44)
\n" ); document.write( "x = {9, 44} minutes\r
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