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secondary 2 | Maths
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for b)i), why do i let m be 10
Date Posted: 4 years ago
Views: 285
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when you let m=10, the expression will be 4(100) + 7(10) + 3, which is equal to 473. so when you substitute m=10, your factorisation in part (a) will be equal to the factors for 473.
why sub 10 and not other numbers
subbing other numbers will not give you 473, which is what you are trying to factorise
your answer in (a), if I am not wrong, should be
(4m + 3 ) (m + 1). As original commenter said, you will need this to answer your b(i).
to find the factors of 473, you will expect your 2 factors to multiply one another to obtain 473. and the part a is trying to help you here.
(4m + 3) (m + 1) = 473.
Basically your 2 factors being 4m + 3 and m + 1. (might be hard to digest but think about it)
hence,
(4m + 3) (m + 1) = 473
aka 4m2 + 7m + 3 = 473.
you will need an m that will make the LHS of that equation equal to 473.
The question is already making it very very obvious m has to be 10. You will definitely need 4(100) + 7(10) + 3 to get 473. hence M being 10.
Now that we know M is 10,
your 2 factors are 4m + 3 and m + 1. Sub 10 in.
And Nothing of what I just said is fundamentally different from what original commenter said. Just a more detailed breakdown.
(4m + 3 ) (m + 1). As original commenter said, you will need this to answer your b(i).
to find the factors of 473, you will expect your 2 factors to multiply one another to obtain 473. and the part a is trying to help you here.
(4m + 3) (m + 1) = 473.
Basically your 2 factors being 4m + 3 and m + 1. (might be hard to digest but think about it)
hence,
(4m + 3) (m + 1) = 473
aka 4m2 + 7m + 3 = 473.
you will need an m that will make the LHS of that equation equal to 473.
The question is already making it very very obvious m has to be 10. You will definitely need 4(100) + 7(10) + 3 to get 473. hence M being 10.
Now that we know M is 10,
your 2 factors are 4m + 3 and m + 1. Sub 10 in.
And Nothing of what I just said is fundamentally different from what original commenter said. Just a more detailed breakdown.
done
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We let m=10, because that way, we can convert 473 into the quadratic equation we found in (a), which we can then simplify and find the factors
Hope this helps!
Hope this helps!
Date Posted:
4 years ago
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