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Radda [10]
2 years ago
13

Lois says any addition equation where the addends are all the same can be written as a multiplication equation. Is Lois correct

or not and why
Mathematics
1 answer:
USPshnik [31]2 years ago
6 0
Lois is correct. This is because multiplication is repeated addition. It means that when your addends are just the same number but added several times, the sum is just equivalent to the product of that number times the number of times it was added. For example, 4+4+4 = 4×3 = 12.
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Answer:

Sum = -81

Step-by-step explanation:

See the comment for complete question.

Given

c = 36 ----- Constant

No coefficient of x^2

Required:

Determine the sum of all distinct positive integers of the coefficient of x

Reading through the complete question, we can see that the question has 3 terms which are:

x^2 ---- with no coefficient

x ---- with an unknown coefficient

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So, the equation can be represented as:

x^2 + ax + 36 = 0

Where a is the unknown coefficient

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x = -\alpha and x = -\beta

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(x + \alpha)(x + \beta) = 0

Open brackets

x^2 + (\alpha + \beta)x + \alpha \beta = 0

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a = \alpha + \beta

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\alpha = -3 and \beta = -12

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So, the possible values of a are:

a = \alpha + \beta

When \alpha = -1 and \beta = -36

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a = -3 - 12 = -15

When \alpha = -4 and \beta = -9

a = -4 - 9 = -13

At this point, we have established that the possible values of a are: -37, -20, -15 and -9.

The required sum is:

Sum = -37 -20 -15 - 9

Sum = -81

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Read 2 more answers
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