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CBSE Class 10 Answered

if  one zero of the polynomail (a2+4)x2+13x+4a is the reciprocal of the other,find the value of a.
Asked by manya.bhardwaj.01 | 22 May, 2017, 12:08: PM
answered-by-expert Expert Answer
begin mathsize 16px style Let space one space zero space be space straight alpha. Then comma space other space zero equals 1 over straight alpha Given space quadratic space equation space is space left parenthesis straight a squared plus 4 right parenthesis straight x squared plus 13 straight x plus 4 straight a Comparing space with space Ax squared plus Bx plus straight C comma space we space have straight A equals straight a squared plus 4 comma space straight B equals 13 comma space straight C equals 4 straight a Now comma space straight alpha cross times 1 over straight alpha equals fraction numerator 4 straight a over denominator straight a squared plus 4 end fraction rightwards double arrow straight a squared plus 4 equals 4 straight a rightwards double arrow straight a squared minus 4 straight a plus 4 equals 0 rightwards double arrow straight a squared minus 2 straight a minus 2 straight a plus 4 equals 0 rightwards double arrow straight a left parenthesis straight a minus 2 right parenthesis minus 2 left parenthesis straight a minus 2 right parenthesis equals 0 rightwards double arrow left parenthesis straight a minus 2 right parenthesis left parenthesis straight a minus 2 right parenthesis equals 0 rightwards double arrow left parenthesis straight a minus 2 right parenthesis squared equals 0 rightwards double arrow straight a minus 2 equals 0 rightwards double arrow straight a equals 2 end style
Answered by Rashmi Khot | 22 May, 2017, 03:32: PM

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