plz solve this problem in full process
don't solve this problem by hit and trial method
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Heya User,
--> √x + y + x - √y = 12
--> 4x + 4√x + 1 + 4y - 4√y + 1 = 50
--> ( 2√x + 1 )² + ( 2√y - 1 )² = 50 = 25 + 25
--> Considering integer soln.s -->
--> [ 2√x - 1 ] = 5 <----> [ 2√y - 1 ] = 5
--> [ √x = 2 ] <-------> [ 2√y ] = 6
--> [ x = 4 ] <---------> [ y = 9 ]
--> √x + y + x - √y = 12
--> 4x + 4√x + 1 + 4y - 4√y + 1 = 50
--> ( 2√x + 1 )² + ( 2√y - 1 )² = 50 = 25 + 25
--> Considering integer soln.s -->
--> [ 2√x - 1 ] = 5 <----> [ 2√y - 1 ] = 5
--> [ √x = 2 ] <-------> [ 2√y ] = 6
--> [ x = 4 ] <---------> [ y = 9 ]
Anonymous:
In the first step , we've multiplied the whole expression by 4 and have added 2 to both sides
To get the second expression
thnx for solving the problem
=_=
=_=
Sorry for the inconvenience user, by the second step we try to convert that into a factorizable form
oo
Considering your condition of Not Using the Hit and Trial method... And assuming that you required Integer soln.s .... One can make comparizon considering the L.H.S and R.H.S. and to Supplement the Comparison, i.e. to aid the comparizon, we factorize the above ^_^
thnx
plz again solve this problem plz plz
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2
◆ Quadratic Resolutions ◆
Hey !!
Check the attachment.
Hope it helps you :)
Hey !!
Check the attachment.
Hope it helps you :)
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