If X - Y = 10 and XY = - 2 find x^2 +Y^2
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Answer:
Q.7 Classify the following into malleable and non-malleable substance
Aluminum, Oxygen, Gold, Sulphur, Potassium, Carbon.
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Given :-
- x - y = 10
- xy = -2
To find :-
- x² + y²
To know:-
(x - y )² = x² + y² - 2xy
Solution:-
By above formula we can find x² + y²
(x - y )² = x² + y² - 2xy
Plugging values
(10)² = x² + y² -2(-2)
100 = x² + y² + 4
100 - 4 = x² + y²
96 = x² + y²
So, the value of x² + y² is 96
Know more :-
(a+ b)² = a² + b² + 2ab
( a - b )² = a² + b² - 2ab
( a + b )² + ( a - b)² = 2a² + 2b²
( a + b )² - ( a - b)² = 4ab
( a + b + c )² = a² + b² + c² + 2ab + 2bc + 2ca
a² + b² = ( a + b)² - 2ab
(a + b )³ = a³ + b³ + 3ab ( a + b)
( a - b)³ = a³ - b³ - 3ab ( a - b)
If a + b + c = 0 then a³ + b³ + c³ = 3abc
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