Question
Download Solution PDFIf x + y = 10 and xy = 12, find the value of x2 - xy + y2.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
If x + y = 10 and xy = 12
Formula used:
(x + y)2 = x2 + 2xy + y2
Calculations:
(x + y)2 = x2 + 2xy + y2
⇒ 102 = x2 + 2xy + y2
⇒ 100 = x2 + 2(12) + y2
⇒ 100 = x2 + 24 + y2
⇒ x2 + y2 = 100 - 24
⇒ x2 + y2 = 76
We need to find x2 - xy + y2
⇒ x2 - xy + y2 = 76 - 12
⇒ x2 - xy + y2 = 64
∴ The correct answer is option (3).
Last updated on Jun 3, 2025
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