the difference of square of two number is 88 if the larger number is 5less than twice the smaller number then find two number
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Answered by
2
Answer:
Step-by-step explanation:
Let the smaller number be x.
Therefore, the greater number=2x-5
From given condition,
(2x-5)the whole square -(x)square=88
4(x)square- 10x+25-(x)square=88
4(x)square-(x)square-10x=88-25
3(x)square-10x=63
3(x)square-10x-63=0
Now the remaining steps can be solved using quadratic equations
Answered by
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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.
===========================
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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