Question

If l+m+n =0 and l,m,n are the rationals the roots of the equatiobn (m+n-l)x2+(n+l-m)x+(l+m-n)=0 are..give reason also a)real nd rational b)real and irrational

Answer 1

The answer is a. It is real and rational

Answer 2

(m + n - l)x2 + (n + l - m)x + (l + m - n) = 0

As l + n + m = 0

So using this in the quadratic equation we get

-2lx2 - 2mx - 2n = 0

Or lx2 + mx + n = 0

As l , m and n are rational so roots are rational for the above quadratic equation.

Hence option a ) is correct.