The roots of `(x - a) (x - b) = b^(2)` are…

For a, b, c in R and a, b, c are different, then the roots of (x+a)(x+b)= c^(2) are

Show that A.M. of the roots of x^(2) - 2ax + b^(2) = 0 is equal to the G.M. of the roots of the equation x^(2) - 2b x + a^(2) = 0 and vice- versa.

If 8, 2 are roots of the equation x^2 + ax + beta and 3, 3 are roots of x^2 + alpha x + b = 0 then roots of the equation x^2+ax+b =0 are

6.The roots of the equation (a-b+c)x^(2)+4(a-b)x+(a-b-c)=0 are

If c ,d are the roots of the equation (x-a)(x-b)-k=0 , prove that a, b are roots of the equation (x-c)(x-d)+k=0.

If a, b are the roots of x^(2)+x+1=0 , then a^(2)+b^(2) is

The roots of the equation (b-c) x^2 +(c-a)x+(a-b)=0 are

Let alpha,beta be the roots of the equation (x-a)(x-b)=c ,c!=0 Then the roots of the equation (x-alpha)(x-beta)+c=0 are a ,c (b) b ,c a ,b (d) a+c ,b+c

if a lt c lt b, then check the nature of roots of the equation (a -b)^(2) x^(2) + 2(a+ b - 2c)x + 1 = 0

if a lt c lt b, then check the nature of roots of the equation (a -b)^(2) x^(2) + 2(a+ b - 2c)x + 1 = 0