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CBSE Class 10 Answered

Find the quadratic polynomial whose zeros are 3 + root 5 upon 5 and 3 minus root 5 upon 5.
Asked by shubhanginijadhav50 | 21 Jun, 2019, 02:40: PM
answered-by-expert Expert Answer
Roots space are space fraction numerator 3 plus square root of 5 over denominator 5 end fraction space and space fraction numerator 3 minus square root of 5 over denominator 5 end fraction product space of space roots space equals space open parentheses fraction numerator 3 plus square root of 5 over denominator 5 end fraction close parentheses space open parentheses fraction numerator 3 minus square root of 5 over denominator 5 end fraction close parentheses equals fraction numerator 9 minus 5 over denominator 25 end fraction equals 4 over 25 sum space of space roots space equals space fraction numerator 3 plus square root of 5 over denominator 5 end fraction space plus space fraction numerator 3 minus square root of 5 over denominator 5 end fraction equals 3 over 5 Quadratic space equation space is space given space by straight x squared minus open parentheses sum space of space roots close parentheses straight x space plus space open parentheses product space of space roots close parentheses space equals space 0 straight x squared minus 3 over 5 straight x space plus fraction numerator space 4 space over denominator 25 end fraction equals space 0 25 straight x squared minus 15 straight x plus 4 equals 0
Answered by Arun | 22 Jun, 2019, 10:03: AM

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