The roots of `ax^(2)+bx+c=0` are greater than the roots of `2x^(2)+3x+1=0` by unity, then

If the roots of 9x^(2) - 2x +7 = 0 are 2 more than the roots of ax^(2) + bx + c = 0 , then 4a - 2b + c can be

If the roots of 2x^(2) + 7x + 5 = 0 are the reciprocal roots of ax^(2) + bx + c = 0 , then a-c = "_____" .

One of the roots of ax^(2) + bx + c = 0 is greater than 2 and the other is less than -1. If the roots of cx^(2) + bx + a = 0 are alpha and beta , then

The roots of ax^(2) - bx + 2x = 0 are in the ratio of 2 : 3 , then "____" .

If the roots of ax^(2)+b(2x+1)=0 are imaginary then roots of bx^(2)+(b-c)x=c+a-b are

The equation whose roots are greater by 1 than those of 2x^(2)-3x+1=0 is:

If the roots of 2x^(2)+7x+5=0 are reciprocals roots of ax^(2)+bx+c=0 then find the value of a-c

If a gt 0 and both the roots of ax^(2) + bx + c = 0 are more than 1, then

A student notices that the roots of the equation x^(2)+bx+a=0 are each 1 less than the roots of the equation x^(2)+ax+b=0 . Then a+b is.

If the roots of ax^(2)+2bx+c=0 be possible and different then the roots of (a+c)(ax^(2)+2bx+2c)=2(ac-b^(2))(x^(2)+1) will be impossible and vice versa