the difference of squares of two numbers is 88. if the larger no is 5 less than twice the smaller no. find the two numbers
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Answer: 13 & 9
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łєт тнє sмαłłєя ησ: вє x
тнєη тнє łαяgєя ησ: ıs 2x - 5
gıѵєη ,
(2x - 5)² - x² = 88
4x² -20x + 25 - x² = 88
3x² - 20x - 63 = 0
3x² - 27x + 7x - 63
3x(x - 9) + 7(x - 9)
(3x + 7) (x - 9)
x = -7/3 . x = 9
тнє ѵαłυє cαηησт вє ηєgαтıѵє , нєηcє , x = 9 ıs тнє cσяяєcт ѵαłυє.
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2x - 5 = 18 - 5 = 13
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тнє ησ:s αяє 9 αη∂ 13
тнєη тнє łαяgєя ησ: ıs 2x - 5
gıѵєη ,
(2x - 5)² - x² = 88
4x² -20x + 25 - x² = 88
3x² - 20x - 63 = 0
3x² - 27x + 7x - 63
3x(x - 9) + 7(x - 9)
(3x + 7) (x - 9)
x = -7/3 . x = 9
тнє ѵαłυє cαηησт вє ηєgαтıѵє , нєηcє , x = 9 ıs тнє cσяяєcт ѵαłυє.
===========================
2x - 5 = 18 - 5 = 13
----------------------------------
тнє ησ:s αяє 9 αη∂ 13
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