If one zero of the polynomial, …
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Posted by Madhuri Latha 6 years, 9 months ago
- 1 answers
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Sahdev Sharma 6 years, 9 months ago
Let one root = {tex}\alpha {/tex}
Then second root = {tex}1\over \alpha{/tex}
We know
Product of roots = {tex}c\over a{/tex}
{tex}=> \alpha\times {1\over \alpha}= {4a\over a^2+4}{/tex}
=> {tex}a^2+4=4a{/tex}
{tex}=> a^2-4a+4= 0{/tex}
{tex}=> (a-2)^2= 0{/tex}
=> a-2= 0
=> a = 2
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