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CBSE Class 11-science Answered

Q.13  
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Asked by renuy307 | 27 May, 2019, 10:20: AM
answered-by-expert Expert Answer
2x2 - 3x + 1 = 0
 
 
begin mathsize 16px style Comparing space with space ax squared plus bx plus straight c equals 0 space we space get space straight a equals 2 comma straight b equals negative 3 comma straight c equals 1 straight alpha space and space straight beta space are space the space roots space of space teh space quadratic space equation comma straight alpha plus straight beta equals 3 over 2 space and space αβ equals 1 half end style
begin mathsize 16px style fraction numerator straight alpha over denominator 2 straight beta plus 3 end fraction plus fraction numerator straight beta over denominator 2 straight alpha plus 3 end fraction equals fraction numerator 2 straight alpha squared plus 3 straight alpha plus 2 straight beta squared plus 3 straight beta over denominator open parentheses 2 straight beta plus 3 close parentheses begin display style open parentheses 2 straight alpha plus 3 close parentheses end style end fraction equals fraction numerator 2 open parentheses straight alpha squared plus straight beta squared close parentheses plus 3 open parentheses straight alpha plus straight beta close parentheses over denominator 4 αβ plus 6 straight beta plus 6 straight alpha plus 9 end fraction equals fraction numerator begin display style 2 left square bracket open parentheses straight alpha plus straight beta close parentheses squared minus 2 αβ right square bracket plus 3 open parentheses straight alpha plus straight beta close parentheses end style over denominator begin display style 4 αβ plus 6 open parentheses straight beta plus straight alpha close parentheses plus 9 end style end fraction equals fraction numerator begin display style 2 open square brackets open parentheses 3 over 2 close parentheses squared minus 2 cross times 1 half close square brackets plus 3 cross times 3 over 2 end style over denominator begin display style 4 cross times 3 over 2 plus 6 cross times 3 over 2 plus 9 end style end fraction equals fraction numerator begin display style 9 over 2 minus 1 plus fraction numerator begin display style 9 end style over denominator begin display style 2 end style end fraction end style over denominator 6 plus 9 plus 9 end fraction equals 8 over 24 equals 1 third end style
Similarly find product of teh roots and then equation.
Answered by Sneha shidid | 27 May, 2019, 10:38: AM

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CBSE 11-science - Maths
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