Question
Download Solution PDFIf (J + K) is 25 and (J × K) is 150, find the value of (J - K)?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven,
(J + K) = 25 ----(1)
and J × K = 150
By squaring the above equation, we get
⇒ (J + K)2 = 252
⇒ J2 + K2 + 2JK = 625
⇒ J2 + K2 = 625 - 300
⇒ J2 + K2 = 325 ----(2)
To get (J - K), we have to subtract 2JK from eq.(2)
⇒ J2 + K2 - 2JK = 325 - 2JK
⇒ (J - K)2 = 325 - 300 = 25
∴ (J - K) = ±5Last updated on Jun 2, 2025
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