In solving a problem, one student makes a mistake in the coefficient of the first degree term and obtains – 9 and – 1 for the roots. Another student makes a mistake in the constant term of the equation and obtains 8 and 2 for the roots. The correct equation was 

Direction: In the following questions two equations numbered I and II are given. You have to solve both the equations and give answer.
(A) x>y
(B) x≥y
(C) x˂y
(D) x≤y
(E) x=y or the relations ship cannot be established

I. x² + 13x = - 42
II. y² + 16y + 63 = 0 

If α and β are the roots of equation x² - 2x + 4 - 0, then what is the equation whose roots are α³/β² and β³/α²?

If the difference between the roots of the equation Ax²+BX+C = 0 is 4, then which of the following is TRUE?

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.  5x+2y=31
II. 3x+7y=36

What are the roots of the equation log₁₀(x²-6x+45) =2?

If 3x+0.04x=0.608, find x. 

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. x³-371=629
II.y³ – 543 =788