if x + y - 12 and xy=27, find the value of
x²+y²
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Hey mate! Here's your answer:
Step-by-step explanation:
x - y = 12
x = 12 + y
(12 - y)y = 27
-y² + 12y = 27
-y² + 12y - 27 = 0
-y² + 3y + 9y - 27 = 0
-y(y - 3) + 9(y - 3) = 27
(9 - y)(y - 3) = 0
9 - y = 0. y - 3 = 0.
y = 9. y = 3.
If y = 9, x = 3.
If y = 3, x = 9.
So x² + y² = 3² + 9² = 9 + 81 = 90.
PLS MARK IT AS THE BRAINLIEST! :):):)
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