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IPMAT Indore 2024 - QA (MCQ) Q39 Explanation
November 26, 2024
Explanation:
(c) ๐ฅ^2 − 10|๐ฅ| − 56 = 0
We know, if ๐ ≥ ๐, ๐กโ๐๐ |๐ฅ|=+๐ฅ
⇒๐ฅ^2 − 10๐ฅ − 56 = 0
⇒(๐ฅ−14)(๐ฅ+4) = 0
⇒ ๐ฅ = 14 or−4 (only one root, +14 is valid)
Also, if ๐<๐, ๐กโ๐๐ |๐ฅ|=−๐ฅ
⇒ ๐ฅ^2 − 10(−๐ฅ) − 56 = 0
⇒ ๐ฅ^2 + 10๐ฅ − 56 = 0
⇒ (๐ฅ+14)(๐ฅ−4) = 0
⇒ ๐ฅ = −14 or + 4 (only one root, -14 is valid)
So, only 2 real solutions. Ans