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.

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What branch of mathematics is this?

This is the question: How many real solutions is there to the following equation? $ x+x^2 +...+ x^{2012} = 0$ The answer is the 2 solutions: $x=0$ and $x=-1$ I solved the question by just factorizing the expression. But I was wondering if these…
5TableLegs
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Question on the general approach to solving mathematical problems

This youtube video https://www.youtube.com/watch?v=Mx0x7MoN4qw shows a mathematical puzzle. You have 101 coins, 51 of which are genuine, 50 are counterfeit. They all look exactly the same, they only differ in weight: a genuine coin weighs either 1…
user6376297
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A marble in a pot

I have been sitting here staring at this problem for hours and I have no idea where to start..... the problem reads: Imagine a flat bottomed cylindrical pot with a radius of $4$. A marble with a radius $0 < r < 4$ is placed in the bottom of the…
cschurman
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Solve equation with variables inside and outside cos

I have an issue with following problem: A line needs to be intersected with a cosinus function. My line would be $\displaystyle l_1 = \binom{x_1}{y_1} + s\binom{u_1}{v_1}$ My function for a curved line in 2D is $\displaystyle g: y_2 = d + a + a *…
SinisterMJ
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how many kilometers can i do on 25L of fuel

someone please help me .. my fuel gauge is not accurate and i need to know how many kilometers i can do on a full tank which is 25L 50922km was what it was on when I filled 18L of petrol. the next time I filled up the car it was at 51064km and I…
fiona
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Finding product of three numbers given respective products

While solving a problem about volumes of parallelepipeds, I came across three expressions involving the products of its respective sides: $a,b$ and $c$. The equations are the following: $ab = 60$ $ac = 40$ $bc = 24$ Now I want to find the volume of…
Uri Toti
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Which value a and e must have to meet the conditions?

I'm trying to implement an algorithm to solve conversion of base, and I'm stuck. I want to express value in this form: $ v = a×b^e$ . How can I solve this problem? If a $\epsilon \ I_{\ne 0}\ , e \ \epsilon \ I$ and v and b are given. An example: $v…
Novatto
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What does it mean, in a mathematical context to “apply strategies”?

Is the phrase “apply strategies” meaningful in the mathematical community? I’m working alone and nearing the completion of an Australian Y10 advanced mathematics book. This phrase “apply strategies” appears throughout the book in the context of…
duckegg
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How to solve the irrational inequality?

Solve the inequality $$\dfrac{2x^4+2x^2}{\sqrt{x+1}}+(x+2)\sqrt{x+1}>x ^3 + 2x^2 + 5x.$$ I tried. By putting $t = \sqrt{x+1}$, we have $$2t^8-t^7-8t^6+t^5+15t^4-4t^3-11t^2+4t+4>0.$$ Using Maple, I got $$(2t^2-t-2)(t^2-t-1)(t^4+t^3-t^2-t+2)>0.$$ How…
minthao_2011
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Find a typo in this expression simplification problem

I'm solving quite an old book of mathematical problems. This one: Yegerev V.K., Zaytsev V.V., Kordemsky B.A. and others. Sbornik zadach po matematike dlya postupayuschih vo vtuzi. Kniga 1. Algebra (Math problem book for enrollees in technical…
Rusurano
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Round Robin Problem Solving Questions

G'day, everyone. I have been asking a lot of questions today and I am very appreciative of those who have responded with advice and help and I thank you all. If you have seen my previous questions you know that the context for this question is that…
John Jackery
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Solving Systems of Equations Question

Saw this question and have been unsure of how to solve it properly. Any help would be appreciated! A pilot of a downed airplane fires the emergency flare into the sky. The path of the flare is modeled by the equation $y =-0.096(x-25)^2+60$, where…
ComradeYakov
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How to solve Maths Problem without algebra way. Primary School Question

Caroline bought a school bag, a pair of shoes and a jacket for her son. She paid a total of $\$170$. The pair of shoes cost $\$23$ more than the school and $\$16$ less than the jacket How much did Caroline pay for the jacket?
Joseph liew
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How to solve the system of equations like this one?

I have a hidden linear function: $f(x)=a*x+b$. For example $f(x)=2*x+3$ A hidden function $f$ was executed on some hidden input $x$=(0,1,3,4) and we have access only to output $y=(f(0)=3, f(1)=5, ...)=(3,5,9,13)$ How to find: $(a, b, \vec{x})$? In…
Oleg Dats
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How many times do two or more odd digits appear in a number when counting from $0$ to $999$?

I'm looking for a short and quick way of solving this question. I could probably count the odd digits within smaller ranges (i.e. $0-9, 10-19, 20-29...$) but I was wondering if there was an easier (and faster) way of doing this question. So far I've…
CuriousOwl
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