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  • If a and b are the zeros of the polynomial f(x) =x^2 - 5x + k such that (a - b )=1 find the value of k .

If a and b are the zeros of the polynomial f(x) =x^2 - 5x + k such that (a - b )=1 find the value of k .

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Solution: Since a and b are the zeros of the polynomial  

        \ f(x)= x^2 -5x +k

\ herefore a+b=-(-5/1) \ ;ab=(k/1)

Now ,

\ a-b=1

\Rightarrow (a-b)^2=1\ \ Rightarrow (a+b)^2-4ab =1\ \ Rightarrow 25 -4k =1\ \Rightarrow 4k=24\ \ Rightarrow k= 6

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Posted by

Deependra Verma

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