Question
Download Solution PDFIf x2 − 2xy = 84 and x − y = −10, then the value of y is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
x2 − 2xy = 84
x = y - 10
Calculations:
According to question,
x2 − 2xy = 84 ------------(1)
And x = y - 10
now, put x = y - 10 in eq(1)
(y - 10)² - 2y(y - 10) = 84
⇒y² - 20y + 100 - 2y² + 20y = 84
⇒- y² = 84 - 100
⇒ y² = 16
⇒ y = 4
Hence, The Required value is 4.
Last updated on Jun 13, 2025
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