Question
Download Solution PDFx2 + ax + b യെ x - 5 കൊണ്ട് ഹരിക്കുമ്പോൾ, 34 ശിഷ്ടം ലഭിക്കുന്നു. x2 + bx + a എന്നതിനെ x - 5 കൊണ്ട് ഹരിക്കുമ്പോൾ, 52 ശിഷ്ടം നൽകുന്നു, അപ്പോൾ a + b = ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFx2 + ax + b യെ x - 5 കൊണ്ട് ഹരിക്കുമ്പോൾ, 34 ശിഷ്ടം ലഭിക്കുന്നു.
⇒ 52 + 5a + b = 34
⇒ 5a + b = 9 ----(1)
വീണ്ടും,
x2 + bx + a എന്നതിനെ x - 5 കൊണ്ട് ഹരിക്കുമ്പോൾ, 52 ശിഷ്ടം നൽകുന്നു,
⇒ 52 + 5b + a = 52
⇒ 5b + a = 27 ----(2)
(1) + (2) ൽ നിന്ന് നമുക്ക് ലഭിക്കുന്നത്,
⇒ 6a + 6b = 36
⇒ a + b = 6
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