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CBSE Class 10 Answered

if alpha and beta are zeros of 4xsquar+4x+1 then form a quadratic polynomials whose zeros are 2alpha and 2beta .  
Asked by selwyn2391 | 16 May, 2019, 09:41: PM
answered-by-expert Expert Answer
straight alpha space and space straight beta
4 straight x squared plus 4 straight x plus 1 equals 0
straight alpha plus straight beta equals fraction numerator negative 4 over denominator 4 end fraction equals negative 1
open parentheses αβ close parentheses equals 1 fourth

new space roots space 2 straight alpha space and space 2 straight beta
quadratic space equation colon
straight x squared minus open parentheses 2 straight alpha plus 2 straight beta close parentheses straight x plus 4 open parentheses αβ close parentheses equals 0
straight x squared minus 2 open parentheses straight alpha plus straight beta close parentheses straight x plus 4 open parentheses αβ close parentheses equals 0
straight x squared minus 2 open parentheses negative 1 close parentheses straight x plus 4 open parentheses 1 fourth close parentheses equals 0
straight x squared plus 2 straight x plus 1 equals 0
Answered by Arun | 17 May, 2019, 09:20: AM
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