If the roots of the equation: a x 2 + b x + c = 0 , a > 0 be each greater than unity, then: Options: A . &nbspa+b+c>0 B . &nbspa−b−c>0 C . &nbspa+b+c>0 D . &nbspa+b+c=0

If the roots of the equation: ax2+bx+c=0,a>0 be each greater than unity

Question

If the roots of the equation:

a x^{2} + b x + c = 0, a > 0

be each greater than unity, then:

Options:

A . a+b+c>0

B . a−b−c>0

C . a+b+c>0

D . a+b+c=0

Answer: Option A
:
A
Both the roots are greater than 1 and a

>

0. So, the graph of the equation will be:

f (x) = a x^{2} + b x + c

f (1) > a + b + c > 0

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