Question
Download Solution PDFx2 + ax + b, x - 5తో భాగించినప్పుడు, 34 మరియు x2 + bx + a, x - 5 ద్వారా భాగించబడినప్పుడు, 52 శేషం వస్తే, a + b = ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFx2 + ax + b, x - 5తో భాగించబడినప్పుడు, 34 మిగులుతుంది,
⇒ 52 + 5a + b = 34
⇒ 5a + b = 9 ----(1)
మళ్ళీ,
x2 + bx + a, x - 5తో భాగించినప్పుడు, 52 మిగులుతుంది
⇒ 52 + 5b + a = 52
⇒ 5b + a = 27 ----(2)
(1) + (2) నుండి,
⇒ 6a + 6b = 36
⇒ a + b = 6
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