If x+y = 10 and xy = 3, find the value of x²+y²
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Answered by
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x + y = 10
Square of both sides,
(x + y)² = 10²
-------------
We know,
(a + b)² = a² + b² + 2ab
-----------------
Applying formula,
(x + y)² = 10²
x² + y² + 2xy = 100
Putting the value of xy,
x² + y² + 2(3) = 100
x² + y² + 6 = 100
x² + y² = 100- 6
x² + y² = 94
I hope this will help you
(-:
Square of both sides,
(x + y)² = 10²
-------------
We know,
(a + b)² = a² + b² + 2ab
-----------------
Applying formula,
(x + y)² = 10²
x² + y² + 2xy = 100
Putting the value of xy,
x² + y² + 2(3) = 100
x² + y² + 6 = 100
x² + y² = 100- 6
x² + y² = 94
I hope this will help you
(-:
Jatin0001:
Thank You
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