Solve equations I. x2 + 9x + 20 = 0 and II. y2 + 5y + 6 = 0 to determine x and y?
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Answer: A. If x < y
Explanation
Solving equation one yields roots of negative four and negative five via standard quadratic factoring. Solving equation two yields roots of negative two and negative three through binomial factorization. Comparing all resulting roots shows that every value of x is less than y, confirming x less than y. Quadratic root finding allows researchers to establish strict numerical boundaries for paired variables. Negative integer ordering requires recognizing that numbers with larger absolute values are smaller in magnitude. Systematic inequality testing ensures accurate relational conclusions between independent equation solutions.
Comparative statistical modeling often evaluates pairs of equations to determine hierarchical variable dominance. Quantitative aptitude tests frequently use quadratic comparison sets to evaluate algebraic proficiency. Control systems engineering checks variable boundaries to ensure stable operational parameter ranges. Option B contradicts the findings since all evaluated x roots are strictly smaller than y roots. Option C is invalid because no overlap or equality exists between any of the calculated root pairs. Option D incorrectly suggests that x is greater than or equal to y across the solution set.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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