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IFoA_CAA_M0 Exam - Topic 8 Question 90 Discussion

Determinewhich of the statements is true about the root(s) of the following equation:
C) There are two real roots, r1and r2, where r1is positive and:r1 = - 0.5 r2
A) There is only one real root which takes a positive value.
B) There is only one real root which takes a negative value.
D) There are two real roots, r1 and r2, where r1is positive and:r1 = - 2 r2

IFoA_CAA_M0 Exam - Topic 8 Question 90 Discussion

Actual exam question for IFoA's IFoA_CAA_M0 exam
Question #: 90
Topic #: 8
[All IFoA_CAA_M0 Questions]

Determinewhich of the statements is true about the root(s) of the following equation:

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Suggested Answer: C

by Marica at Nov 24, 2025, 08:46 AM

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Kallie
3 months ago
A or C, but I’m not sure. Need to check the graph.
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Frank
3 months ago
I agree with C. The ratio fits the equation well.
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Stefan
3 months ago
D is interesting, but I lean towards A.
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Daniel
3 months ago
C seems likely. Two roots with that ratio sounds good.
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Avery
4 months ago
I feel B could be right. A negative root is possible.
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Dusti
4 months ago
I think A is true. One positive root makes sense.
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Devora
4 months ago
Definitely two roots, but I think A) is the winner here!
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Franklyn
5 months ago
Wait, are we sure about D)? That seems off.
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Hester
5 months ago
I'm just going to guess and hope for the best. That's how I usually do on these exams.
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Graciela
5 months ago
Okay, let's see if I can work this out step-by-step.
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Janey
5 months ago
Haha, I bet the answer is hidden in some obscure mathematical identity that no one remembers.
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Alline
5 months ago
Option C seems the most logical to me, but I'm not 100% sure.
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Ruthann
5 months ago
I vaguely recall that if one root is positive, the other must be negative for certain equations. Maybe option D is the right choice?
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Adaline
6 months ago
I'm a bit confused about whether there can be two real roots that are both negative. I feel like I need to double-check the signs.
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Vi
6 months ago
I think I practiced a similar question where we had to find the relationship between the roots. Could it be option C?
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Lashunda
6 months ago
I remember something about the discriminant indicating the number of real roots, but I'm not sure how it applies here.
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Michel
6 months ago
I've got a strategy - I'll solve for the roots, then check each statement to see which one matches the results.
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Odette
6 months ago
Hmm, this is tricky. I'll need to be careful with the signs and values to determine which statement is correct.
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Ayesha
6 months ago
Okay, I think I can handle this. I'll start by factoring the equation or using the quadratic formula to find the roots.
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Agustin
7 months ago
C) seems plausible, but I'm not sure.
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Goldie
7 months ago
I disagree, B) sounds more accurate.
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Shayne
7 months ago
This looks like a tricky one. I'll have to think it through carefully.
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Stephaine
7 months ago
A) is true, there's only one positive root.
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Avery
8 months ago
I'm a bit confused by the equation format. Is there a way to convert it to a standard quadratic form first?
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Matt
8 months ago
This looks like a standard quadratic equation problem. I'll need to find the roots and then evaluate which statement is true.
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Omega
2 months ago
Let’s calculate the roots to be sure.
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Louisa
2 months ago
What if it’s option D? Two roots with that ratio could work.
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Osvaldo
3 months ago
I’m leaning towards option C. Two real roots make sense.
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Matthew
3 months ago
I think it’s option A. One positive root sounds right.
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Lonna
7 months ago
I believe option B is the answer. One negative root is possible.
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