5x + 10x + 16 = 0How many distinct real solutions does the given equation have?
Correct answer: D. Zero
- A. Exactly One
- B. Exactly Two
- C. Infiniely many
- D. Zero
Explanation
Choice D is correct. The number of solutions of a quadratic equation of the for max 2 +bx + =c 0, where a, b, and c are constants, can be determined by the value of the discriminant, b2 -4ac If the value of the discriminant is positive, then the quadratic equation has exactly two distinct real solutions. If the value of the discriminant is equal to zero, then the quadratic equation has exactly one real solution. If the value of the discriminant is negative, then the quadratic equation
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Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
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