Quadratic Equation

I learnt this Arihant Differential Calculus book.
Please explain how ths has been derived or formulated.

1) If ax2 + bx + c > 0, for all x belonging to R
a > 0 and D < 0

2) If ax2 + bx + c > 0, for all x belonging to R
a > 0 and D < 0

my question is if D< 0 then the roots will imaginary, right. then how above two equations are possible ?

1 Answers

1357
Manish Shankar ·

f(x)=ax2+bx+c

draw the graph: it will be a parabola

and will never intersect x-axis

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