Uncovering the Missing Solution in the Modulus Problem: k>4 and k=0

Thread starter chwala
Start date Oct 6, 2021
Tags

Modulus

In summary, a modulus problem is a type of mathematical problem that involves finding the remainder when dividing one number by another. To solve a modulus problem, one can use the modulus operator (%) in a calculator or perform the division and then find the remainder manually. Modulus problems are commonly used in computer programming, cryptography, and in calculating time and dates. If the divisor is zero, the result of the modulus operation will be undefined. There are a few rules to keep in mind when solving modulus problems, such as the result will always be less than the divisor and the sign of the result will match the sign of the dividend.

Oct 6, 2021

chwala

Gold Member

Homework Statement: Find the set of values of ##k## for which ##|(x+5)(x+1)|=k## has two solutions

Relevant Equations: modulus

i got ##k>4## and ##k=0##
find my working...

the test book gives solution as ##k>4##. Did they miss out on the second solution ##k=0##?

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Oct 7, 2021

anuttarasammyak

Gold Member

k=0 and k>4 are solutions as you say.

Oct 7, 2021

chwala

Gold Member

anuttarasammyak said:

k=0 and k>4 are solutions as you say.

Thanks Man...meaning the author was not keen. Cheers! Bingo

1. What is a modulus problem?

A modulus problem involves finding the remainder when one number is divided by another number. It is represented by the symbol "%". For example, in the problem 10 % 3, the answer would be 1 because when 10 is divided by 3, the remainder is 1.

2. How do you solve a modulus problem?

To solve a modulus problem, you can use the modulus operator, "%", in a programming language or use long division to find the remainder. For example, in the problem 15 % 4, you could use long division to find that the remainder is 3.

3. What is the purpose of solving a modulus problem?

Solving a modulus problem can be useful in many real-life situations, such as calculating interest rates, determining leap years, or finding the day of the week for a given date. It is also commonly used in computer programming to perform certain calculations.

4. Can you give an example of a modulus problem in a real-life scenario?

Sure, let's say you have a pizza with 8 slices and you want to share it equally among 3 friends. To determine how many slices each person will get, you can use the modulus problem 8 % 3. The answer would be 2, meaning each friend would get 2 slices of pizza.

5. Are there any special rules for solving a modulus problem?

Yes, there are a few special rules to keep in mind when solving a modulus problem. First, the answer will always be a whole number. Second, if the first number is smaller than the second number, the answer will be the first number. Third, if the first number is negative, the answer will also be negative. Lastly, if both numbers are negative, the answer will be positive.