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  • If a ,b are the zeros of the polynomial f(x) =2x^2+5x+k satisfying the relation a^2+ b^2 +ab =21/4 then find the value of k

If a ,b are the zeros of the polynomial f(x) =2x^2+5x+k satisfying the relation a^2+ b^2 +ab =21/4 then find the value of k

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SOLUTION:

Since a and b are the zeros of the polynomial f(x) =2x^2+5x +k

\ herefore a+b=-5/2 ;and ; ab =k/2

NOW, \Rightarrow a^2+b^2 +ab=21/4\ \Rightarrow (a+b)^2-ab=21/4\ \Rightarrow 25/4-k/2=21/4\ \Rightarrow k=2

Posted by

Deependra Verma

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