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

If the roots of (a-b)x^(2)+(b-c)x+(c-a)=0 are real and equal, then prove that b, a, c are in arithmetic progression.

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

If roots of equation x^2-2c x+a b=0 are real and unequal, then prove that the roots of x^2-2(a+b)x+a^2+b^2+2c^2=0 will be imaginary.