Question

If zeroes of the quadratic polynomial: ax2 +bx+c is negative reciprocal of each other ,then find the relationship between a and c.

Answer 1

Answer:

zeros=d,-1/d

k(x2-(d-1/d)+d×(-1/d)

=k{x2-d2+1/d-1}

f(x)=dx2-d2-d

a=d,c=-d

a/c=d/-d=-1

Answer 2

Hence the condition when zeroes of the polynomial are the reciprocal to each other is a= c

Hope this will help you.....

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