exam Maths Puzzle Numerical Ability

"Given the solutions of a quadratic equation, is it possible to reconstruct the original equation? Why or Why not?"

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exam Other Question

On Monday, Serena averaged 40 mph while making sales calls. On Tuesday, she drove for 2 hours more than she did on Monday and averaged 50 mph. If her total distance for the two days was 280 miles, then how many hours did she drive on Monday? Solve for k: (2k-5)/-4 > 5

The answer given was (-theta, -15/2)

But, I think the answer should be (-15/2, theta)

How do I know for certain which side the theta is on?