If x₁ and x₂ are the roots of the equations bx²-ax + log₂m^y=0 such that x₁²=a²+x₂² then evaluate the roots in terms of a and b.

Find out the value of a when $$x^3+ax^2+ 2x+3 $$ is divisible by (x+1)?

Direction: In the following questions two equations numbered I and II are given. You have to solve both the equations and Give answer

Give answer (A) If x > y
Give answer (B) if x ≥ y
Give answer (C) if x<y
Give answer (D) If x ≤ y
Give answer (E) if x=y or the relationship cannot be established.

I. x² – 1 =0
II. y²+4y+3=0

If one root of the equation Ax²+Bx+C = 0 is two and a half times the others, then which of the following is TRUE? 

Factor of $$ {12x^{2}+7y^{2}-12}$$ is__

If  $$  \left( x^2+{1\over x^2} \right)- \left( x - {1\over 4} \right)- 7 =0 $$ then two value of x are :

$$ ({2+\sqrt{5}})$$ and $$ ({2-\sqrt{5}})$$ is a quadratic equation with roots.

If one root of the equation $$ {Ax^2+Bx+C=0}$$ is two and a half times the others, then which of the following is True?