If `a ,b ,c in R^+a n d2b=a+c ,` then check the nature of roots of equation `a x^2+2b x+c=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

If a+b+c=0 then check the nature of roots of the equation 4ax^(2)+3bx+2c=0 where a,b,c in R

If a,b,c in R, then find the number of real roots of the equation x,c,-b-c,x,ab,-a,x]|=0

If alphaa n dbeta,alphaa n dgamma,alphaa n ddelta are the roots of the equations a x^2+2b x+c=0,2b x^2+c x+a=0a d nc x^2+a x+2b=0, respectively, where a, b, and c are positive real numbers, then alpha+alpha^2= a.a b c b. a+2b+c c. -1 d. 0

If a + b + c = 0 and a ne c then the roots of the equation (b + c - a)x^(2) + (c + a - b)x + (a + b - c) = 0 , are

If a,b,c are in A.P. then the roots of the equation (a+b-c)x^2 + (b-a) x-a=0 are :

If a, b, c, d in R such that a lt b lt c lt d, then roots of the equation (x-a)(x-c)+2(x=b)(x-d) = 0

If a+b+c=0, a,b,c in Q then roots of the equation (b+c-a) x ^(2) + (c+a-c) =0 are: