If x + y = -10 and xy = 16, which of the following statements must be true?

(I) x-y = -6

(II) x^2 + y^2 = 68

(III) (x-y)^2 leaves a reminder of 1 when devided by 7

Correct answer marked below

I only

II only

III only

I and II

II and III

Correct

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What this question tests

Your ability to manipulate linear and quadratic expressions, substitute unknowns, and solve equations under time pressure.

Losing a sign when moving terms across the equals sign, or dividing both sides by a variable that could equal zero.

If x + y = -10 and xy = 16, which of the following statements must be true?(I) x-y = -6(II) x^2 + y^2 = 68(III) (x-y)^2 leaves a reminder of 1 when devided by 7