Question

If a is greater than zero then the expression ax^2+bx+c is positive for all values of x provided

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Answer 1

Answer:

here is your answer

Step-by-step explanation:

Consider the equation,

ax^2+bx+c

Now if b^2−4ac<0, then it does not have any real roots and hence it will not intersect the x axis at any point.

If a>0 then y=ax^2+bx+c will lie completely above x axis and

If a<0 then y=ax^2+bx+c will lie completely below x axis.

It is given that the above equation is always greater than zero,

Or 

ax^2+bx+c>0 for ϵR.

This can only occur is 

b2−4ac<0 and a>0.

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