If the roots of `x^2-ax+b=0` are real and differ by a quantity which is less than c(c> 0),prove that b lies between `(1/4) (a^2-c^2)` and (1/4)a^2`..

If the roots of the equation x^(2)-ax+b=0y are real and differ b a quantity which is less than c(c>0), then show that b lies between (a^(2)-c^(2))/(4) and (a^(2))/(4)

If the roots of x^(2)+bx+c=0 are both real and greater than unity,then (b+c+1)

If the roots of the equation x^(2)-4ax+4a^(2)+2a-3=0 are real and less than 3, then

The roots of ax^(2)+bx+c=0, ane0 are real and unequal, if (b^(2)-4ac)

If the roots of the equation x^(2)-bx+c=0 and x^(2)-cx+b=0 differ by the same quantity then b+c is equal to

If roots of the equation x^(2)-2ax+a^(2)+a-3=0 are real and less than 3 then a)a 4

If the roots of the equation x^(2)-2ax+a^(2)-a-3=0 are real and less than 3, then (a)a<2 b.2<-a<=3 c.34^(@)

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 alpha and beta are roots of ax^(2)+bx+c=0 ,and roots differ by k then b^(2)-4ac=