plzzz someone ans ......it's urgent
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Hey! Here is ur answer...
If given ratio x : y
then it's duplicate ratio = x² : y²
According to the problem given,
2s / 3t = ( 2s -p)² / (3t -p)²
2s( 3t -p )² = 3t( 2s - p )²
2s( 9t² - 6tp + p² ) = 3t(4s² -4sp+ p²)
18st²-12spt+2p²s= 12s²t-12spt+3p²t
18st²-12s²t= 3p²t - 2p²s
6st(3t -2s) = p²(3t - 2s)
6st = p²
Therefore, p² = 6st
Hope this helps u...Plz mark it as brainliest... :)
If given ratio x : y
then it's duplicate ratio = x² : y²
According to the problem given,
2s / 3t = ( 2s -p)² / (3t -p)²
2s( 3t -p )² = 3t( 2s - p )²
2s( 9t² - 6tp + p² ) = 3t(4s² -4sp+ p²)
18st²-12spt+2p²s= 12s²t-12spt+3p²t
18st²-12s²t= 3p²t - 2p²s
6st(3t -2s) = p²(3t - 2s)
6st = p²
Therefore, p² = 6st
Hope this helps u...Plz mark it as brainliest... :)
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