If the roots of the equation `(a^2+b^2)x^2-2(a c+b d)x+(c^2+d^2)=0` are real where `a ,b ,c ,d in R ,` then they are Rational Irrational Equal unequal

If the roots of the equation (a^(2)+b^(2))x^(2)-2(ac+bd)x+(c^(2)+d^(2))=0 are real where a,b,c,d in R ,then they are Rational Irrational Equal unequal

If the roots of the equation (a^2+b^2)x^2-2(a c+b d)x+(c^2+d^2)=0 are equal, prove that a/b=c/d

If the roots of (a^(2)+b^(2)) x^(2)+2(a c+b d) x+(c^(2)+d^(2))=0 are equal then

If the roots of the equation (a^(2)+^(2))x^(2)-2(ac+bd)x+(c^(2)+d^(2))=0 are equal , prove that (a)/(b)=(c )/(d)

Check that if the roots of the equation (a^2+b^2)x^2+2x(ac+bd)+c^2+d^2=0 are real,whether they will be equal

Prove that the equation x^2(a^2+b^2)+2x(a c+b d)+(c^2+d^2)=0 has no real root, if a d!=b c .

Prove that the equation x^2(a^2+b^2)+2x(a c+b d)+(c^2+d^2)=0 has no real root, if a d!=bc dot

Prove that, if the roots of the equation (a^2+b^2)x^2+2(bc+ad)x+(c^2+d^2)=0 be real, then they are equal.

Show that if the roots of the equation (a^(2)+b^(2))x^(2)+2x(ac+bd)+c^(2)+d^(2)=0 are real,they will be equal

Column I, Column II If a ,b ,c ,a n dd are four zero real numbers such that (d+a-b)^2+(d+b-c)^2=0 and he root of the equation a(b-c)x^2+b(c-a)x=c(a-b)=0 are real and equal, then, p. a+b+c=0 If the roots the equation (a^2+b^2)x^2-2b(a+c)x+(b^2+c^2)=0 are real and equal, then, q. a ,b ,ca r einAdotPdot If the equation a x^2+b x+c=0a n dx^3-3x^2+3x-0 have a common real root, then, r. a ,b ,ca r einGdotPdot Let a ,b ,c be positive real number such that the expression b x^2+(sqrt((a+b)^2+b^2))x+(a+c) is non-negative AAx in R , then, s. a ,b ,ca r einHdotPdot