ques :: consider the quadrati polynomial f(x) x2 -4ax+5a2-6a
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.