Discuss IFoA IFoA_CAA_M0 Exam Topic 8 Question 90

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

AThere is only one real root which takes a positive value.

BThere is only one real root which takes a negative value.

CThere are two real roots, r1and r2, where r1is positive and:r1 = - 0.5 r2

DThere are two real roots, r1 and r2, where r1is positive and:r1 = - 2 r2

Suggested Answer: C

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30 comments · newest first

Kallie 6 months ago

A or C, but I’m not sure. Need to check the graph.

Frank 6 months ago

I agree with C. The ratio fits the equation well.

Stefan 6 months ago

D is interesting, but I lean towards A.

Daniel 6 months ago

C seems likely. Two roots with that ratio sounds good.

Avery 7 months ago

I feel B could be right. A negative root is possible.

Dusti 7 months ago

I think A is true. One positive root makes sense.

Devora 7 months ago

Definitely two roots, but I think A) is the winner here!

Franklyn 8 months ago

Wait, are we sure about D)? That seems off.

Hester 8 months ago

I'm just going to guess and hope for the best. That's how I usually do on these exams.

Graciela 8 months ago

Okay, let's see if I can work this out step-by-step.

Janey 8 months ago

Haha, I bet the answer is hidden in some obscure mathematical identity that no one remembers.

Alline 8 months ago

Option C seems the most logical to me, but I'm not 100% sure.

Ruthann 8 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?

Adaline 9 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.

Vi 9 months ago

I think I practiced a similar question where we had to find the relationship between the roots. Could it be option C?

Lashunda 9 months ago

I remember something about the discriminant indicating the number of real roots, but I'm not sure how it applies here.

Michel 9 months ago

I've got a strategy - I'll solve for the roots, then check each statement to see which one matches the results.

Odette 9 months ago

Hmm, this is tricky. I'll need to be careful with the signs and values to determine which statement is correct.

Ayesha 9 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.

Agustin 10 months ago

C) seems plausible, but I'm not sure.

Goldie 10 months ago

I disagree, B) sounds more accurate.

Shayne 10 months ago

This looks like a tricky one. I'll have to think it through carefully.

Stephaine 10 months ago

A) is true, there's only one positive root.

Avery 11 months ago

I'm a bit confused by the equation format. Is there a way to convert it to a standard quadratic form first?

Matt 11 months ago

This looks like a standard quadratic equation problem. I'll need to find the roots and then evaluate which statement is true.

Omega 5 months ago

↳ replying to Matt

Let’s calculate the roots to be sure.

Louisa 5 months ago

↳ replying to Matt

What if it’s option D? Two roots with that ratio could work.

Osvaldo 6 months ago

↳ replying to Matt

I’m leaning towards option C. Two real roots make sense.

Matthew 6 months ago

↳ replying to Matt

I think it’s option A. One positive root sounds right.

Lonna 10 months ago

↳ replying to Matt

I believe option B is the answer. One negative root is possible.

IFoA_CAA_M0 Exam - Topic 8 Question 90 Discussion