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

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

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

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

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. 2x²+11x+12=0
II. 5y²+27y+10=0

A root of equation $$({ax}^2+bx+c)$$ (where a, b and c are rational numbers) is 5 +3√3. What is the value of $$({a}^2+b^2+c^2) / (a+b+c) ? $$

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 – 7x+ 12=0
II. y²-12y+32 =0

If 4x+5y=83 and $$ \ {3x\over2y}={21\over22}$$then what is the value of y-x ?