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 cdot`

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

If the equation (a^(2)+b^(2))x^(2)-2 (ac +bd)x+c^(2)+d^(2)=0 , has equal roots , then

If the roots of the equation x^(2)+2cx+ab=0 are real unequal,prove that the equation x^(2)-2(a+b)x+a^(2)+b^(2)+2c^(2)=0 has no real roots.

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(ac + bd) x + (c^(2) + d^(2)) = 0 are equal prove that (a)/(b) = (c )/(d)

If (a^(2)+b^(2))x^(2)+2(ab+bd)x+c^(2)+d^(2)=0 has real roots then

If a,b,c,d in R, then the equation (x^(2)+ax-3b)(x^(2)-cx+b)(x^(2)-dx+2b)=0 has a.6 real roots b.at least 2 real roots c.4 real roots d.none of these

If a

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

Let a,b,c , d ar positive real number such that a/b ne c/d, then the roots of the equation: (a^(2) +b^(2)) x ^(2) +2x (ac+ bd) + (c^(2) +d^(2))=0 are :