Multiple choice

In each of the following questions, two equations are given you have to solve them and. (i) (x^2 - 6x - 16 = 0) (ii) (y^2 + 6y - 16 = 0) Give answer.

  1. If x > y

  2. If x ≥ y

  3. If x < y

  4. If x ≤ y

  5. If x = y or relationship can't be established.
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Solve both equations: x²-6x-16=0 gives x=(6±√(36+64))/2=(6±10)/2, so x=8 or x=-2. y²+6y-16=0 gives y=(-6±√(36+64))/2=(-6±10)/2, so y=2 or y=-8. Since x can be 8 (greater than both y values) or -2 (greater than -8 but less than 2), and y can be 2 or -8, no consistent relationship exists.

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