Math Olympiad Questions by Harsh sir | Vedantu Math - 23

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x²-y²=24
xy=35
x+y=?
Solution:
xy=35
x=35/y
x²-y²=24
(x+y)(x-y)=24
(x+y)=24/(x-y)
Substituting x
35/y + y = 24/(35/y)-y
After simplification we get the equation as
y⁴+24y²-1225=0
Let y²=z
Then the equation becomes
z²-24z-1225=0
On simplification we get
z=25, -49
This implies that y=5 as it can't be √-49( an imaginary number)
xy=35
Thus x = 7
Hence x=7 and y=5
Therefore,
x+y=12

PLZ GIVE ONE LIKE FOR SOLUTION

anuragkumarxedpsk
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the value of x is 7 and y is 5 respectively. so x+y is 12

tusharmorwal
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SIR iss sum ko solve karne se swaad aaya. Is session ke liye bahut dhanyawad sir.

ab_sn
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Value of x is 7&(-7)
Value of y is 5&(-5)

Thus x+y=12 or(-12)

RajSharma-qpkq
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HW Answer: x = 7 and y = 5 Therefore, x + y = 12

shreyabhat
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The answer of the question Will be( +12, -12)= x+y

Abj
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sir please make a video on how to prepare for IMO class 12 2023-24

lofi_vibes-xbtu
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0:21

No sir, it is not a prime number.

2023 = 7*17*17

uttkarsh