Mathematics Stack Exchange
Mathematics Stack Exchange

Questions tagged [problem-solving]

Use this tag when you want to determine the thinking that is needed to solve a certain type of problem, as opposed to looking for a specific answer to a question.

Use this tag when you want to determine the thinking that is needed to solve a certain type of problem, as opposed to looking for a specific answer to a question.

4495 questions
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Number puzzle - Constructing border around a rectangle

If I construct a large rectangle from a certain number of smaller rectangles- x across and y down i.e. total number of rectangles is xy-, now if I was to construct a border around this large rectangle using the same number of smaller rectangles. How…
Student 1
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faster and unconventional way of doing maths problem?

I just wanted to know is there any book or resource or perhaps online resource which could help me to do faster problem solving problems like below(so that i could do it mentally an perhaps a lot faster even if i write) There are 12 pipes that are…
munish
  • 397
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How to solve for an equation where the variable is added with an exponent?

I've got a formula that calculates for the $x$ using $y$. This seems like it should be easy, but I find myself hitting a wall due to the $(99 * y)$. Without that it would obviously be quite trivial. What steps are needed to solve the equation for…
James Simpson
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Solving for $T$ in an equation

Can anyone please help me solve for $T$ in this equation: $$0=M\cdot S+ \frac{T}{0.755}-\frac{T}{0.755} \cosh\frac{0.755M}{2T}.$$ Thanks in advance.
Jaffer Alfahdawi
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Using graphs to solve equations

After drawing the graph of $y=2x^2-3x-1$, I have to draw the graph of $2x^2-3x=0$, I know you have to rearrange to get the original equation but if there are no constants then how am I suppose to rearrange for the original and find what $y$ equals…
Fred
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$2\sqrt{a-x}$ = $\sqrt{b-x}$+$\sqrt{c-x}$

I am trying to solve when we have $a,b,c$ as just strictly positive numbers. $2\sqrt{a-x}$ = $\sqrt{b-x}$+$\sqrt{c-x}$. What is the approach solving for x? In the actual proble, I was lucky to just plug in number, because I knew it would be a…
Frank Swanton
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How to approach the problem

x^4 + y^4 + z^4 + 1 = 4xyz No. Of triplets of real numbers satisfying the eqn? I'm not able to figure how to approach this problem.
Anmol Vashishtha
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how can I calculate $r$ in $r + r^2 + r^3 + r^4 = 100$?

As the title says, I want to know how to solve this equation. Just cannot find a way I want to know how much % profit someone has to make EVERY MONTH in average from a stock within $4$ months, to double the money. In other words: I have to make r %…
Johnny
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Trying to find the equation for this graph

I am trying to find an equation to solve the graph below (about). Anything close to this will do as i can refine it, but i need someone to put me on the right direction. Ideally $x$ and $f(x)$ will be $0$ to $1$. The graph would look like this Any…
Benoit Alvarez
  • 101
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Solve inequality after specific variable

I would appreciate if someone could help me solving the following inequality: $$ \frac{p^s}{s+1} \ge d$$ We would like to solve the equation for $s$ and can assume that $p,s$ and $d$ are all positive and $p$ and $d$ can be seen as fix numbers. Thank…
N. Younger
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The 'four 1s' problem

There are four 1s that you get to use, and you must use ALL FOUR (which is not a problem because of mulitplying by 1) You may put math signs in between each one however you please. You may even put them together to make 11. I have figured out a lot…
Ben Fowler
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Homework question about basic vector analysis

Let $\vec{a} ,\vec{b},\vec{c}$ linear Independent vectors that form and ordered basis B. And consider this basis non orthogonal and $\vec{r} = x \vec{a} +y\vec{b}+z\vec{c}$. This vector space is euclidian and Real. Prove that: $\displaystyle x =…
M.N.Raia
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If candies have a cost of x cents less per dozen . . . What is x?

If candies have a cost of x cents less per dozen, it would have cost 3 cents less for x + 3 candies than if they had cost x cents more per dozen. What is x? I didn't get far with what I was able to do: Cost x less per dozen (x+3)-3 ? What is x
Daniel Marksman
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Counting the position a subset in lexicographic ordering

The $\binom{5}{3}$ ($=10$) $\,\,3$-elements subsets of the set $\{1,2,3,4,5\}$ can be arranged in the following way, called lexicographic…
luimichael
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How to solve equation of the form: $A*i*j + B*i +C*j=N$

I have an equation of the form $A*i*j + B*i +C*j = N$ where I have the values of $A,B,C$ and $N$ and I want to solve for integer values of $i$ and $j$. How would I approach this? I could try trial and error but the numbers I'm working with are…
Yehosef
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