ques :: consider the quadrati polynomial f(x) x^{2 }-4ax+5a^{2}-6a

a)find the smallest +ive integral value of 'a' for which f(x) is +ive for every real x

.find the largest distance b/w the roots of the equation f(x)=0

plss ans it soon :P i have test tmrow :(

Given polynomial,

It is given that *f*(*x*) is positive for every real *x*.

which are not positive value. Hence it is discarded.

Now, for *a* ≤ 6, we have,

Positive values of *a* = 6, 5, 4, 3, 2, 1 and for then *f*(*x*) is positive for every real *x*.

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