If `a x^2+b x+c=0a n db x^2+c x+a=0` have a common root and a, b, and c are nonzero real numbers, then find the value of `(a^3+b^3+c^3)//a b c`

IF x^2 + a x + bc = 0 and x^2 + b x + c a = 0 have a common root , then a + b+ c=

If x^(2)+bx+c=0,x^(2)+cx+b=0(b!=c) have a common root then b+c=

If a+b+c=0 , then find the value of (x^(a))^(3)/(x^(-3b)x^(-3c))

If the equation ax^(2) + bx + c = 0 and 2x^(2) + 3x + 4 = 0 have a common root, then a : b : c

If x^(2)+3x+5=0 and ax^(2)+bx+c=0 have common root/roots and a,b,c in N then find the minimum value of a+b+c .

If the equation x^(2)+2x+3=0 and ax^(2)+bx+c=0 have a common root then a:b:c is

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

lfequations (a + 2)x^2 + bx + c = 0& 2x^2 + 3x + 4=0 have a common root where a, b, c in N, then- (A) b^2 -4ac lt 0 (B) minimum value of a +b+ c is 16 (C) b^2 gt 4ac+8c (D) minimum value of a + b + c = 7 lf one ofthe roots of x^2-bx + c = 0; b, c in Q