Math Central - mathcentral.uregina.ca
Quandaries & Queries
Q & Q
. .
topic card  



list of
. .
start over

25 items are filed under this topic.
Can one equation with two variables be solved algebraically? 2019-08-30
From Don:
Can one equation with two variables be solved algebraically?
Answered by Penny Nom.
How many solutions does 3 (x + 4) = 3 x + 4 have? 2018-12-01
From Milan:
how many solutions does 3 (x + 4) = 3 x + 4 have?
Answered by Penny Nom.
Extraneous solutions 2015-03-07
From Emily:
I have a question about Extraneous Solutions, Because I was recently researching to figure out on how to determine that a solution is extraneous and many of the answers talked about how if a answer is negative that it should always be extraneous but now I found out that positive solutions can also be considered as extraneous solutions so that is why I am really confused Extraneous Solution's.
I would really appreciate it if you could clearly explain to me how to determine an extraneous solution from a normal solution.

Answered by Chris Fisher.
Extraneous solutions 2013-10-22
From tom:
i need an equation where x=-2 is the correct answer and x=-3 is an extraneous solution. can you provide me with such an equation??
Answered by Harley Weston.
Extraneous solutions 2013-02-18
From Eileen:
Answered by Penny Nom.
Extraneous solutions 2010-05-22
From Joe:

Question from Joe, a parent:

w+3    2w
----- - ----- = 1
w2-1   w-1

W2 is = w squared

The answer is w= ------

but have no idea how this was solved. any help is appreciated. Thanks.

Answered by Penny Nom.
Redwood Park and Glendale Park 2010-03-05
From Shaun:
Question from Shaun, a student:

Redwood and Glendale Parks are each surrounded by 100 yards of fencing. The are of Redwood Park is 25 square yards more than the area of Glendale Park. If both parks are rectangles, what is the measurement of each rectangle?

Answered by Harley Weston.
Extraneous solutions 2009-09-20
From iyana:
what is an extraneous solution? what must you do to determine whether a extraneous solution?
Answered by Stephen La Rocque and Harley Weston.
Extraneous solutions 2009-06-02
From Ayana:
solve and check for extraneous solutions.

3x+6/ x-4 = x+1/ x-2

x can not = {-2,2}

Answered by Penny Nom.
An infinite number of solutions 2009-03-24
From Sean:
this is a linear equations problem;

3535.5 + Fbd (.866) + Fbc (.5) - Fab (.5) = 0
-3535.5 - Fab (.866) - Fbc (.5) - Fbd (.5) = 0

Answered by Harley Weston.
A quadratic 2008-10-27
From Giselle:
3x squared minus 2x equals -5
Answered by Penny Nom.
Extraneous solutions 2008-09-25
From crystal:
Answered by Penny Nom.
algebra 2008-07-31
From Eric:
Would you please solve & explain this equation to me: x^2+2x=x(x+2)? Thank you
Answered by Penny Nom & Stephen La Rocque.
Number of real solutions 2007-10-05
From Sujith:
The no of real solutions of the equations 1+x+x^2+x^3 = x^4+x^5 is ?
Answered by Harley Weston.
Two equations in two unknowns 2007-09-22
From Mary:
Having problems doing this problem, looking for a solution with the work. I would like to see how you got your answer, to see what I was doing wrong.

solve using the substitution method, is there "no solution" or "infinitely many solutions"


Answered by Stephen La Rocque and Leeanne Boehm.
What feature on a graph shows the solution? 2007-08-19
From San:
To solve the equation 2sinx+square root 3=0, what feature of the graph, in the form y=asinx+b would show the solution? Draw a graph to show the solution. thanks.
Answered by Stephen La Rocque.
What happens when you have zero's on both sides? 2007-06-05
From Lily:
On the substitution method what happens when you have zero's on both sides of the equation? Is that considered no solution or infinitely many?
Answered by Stephen La Rocque and Penny Nom.
Extraneous solutions 2006-01-01
From Liz:

Question: solve and check for extraneous solution

3(w + 1)1/2 = 6

Answered by Penny Nom.
Extraneous solutions 2005-02-04
From Heather:
My teacher wants to know why there are extraneous solutions in logarithms?
Answered by Penny Nom.
Extraneous solutions 2004-07-28
From Nicole:
When I have a problem like (2x + 3)/5 = (x + 1)/6 and the question asks to check for extraneous solutions, how do you solve that?
Answered by Penny Nom.
Extraneous solutions 2003-01-24
From Paul:

What is an extraneous solution and in what cases do you get one?

How do you know it is extraneous?

Answered by Penny Nom.
Mixing solutions 2002-09-13
From Margaret:
In a chemistry laboratory the concentration of one solution is 10% hydrocholoric acid (HCl) and that of a second soulution is 60% HCl. How many mL of each should be mixed to obtain 50 mL of a 30% HCl solution??
Answered by Penny Nom.
A solution to an equation 2002-08-28
From A student:
How do you determine whether a pair of numbers is a solution for an equation?

If you could identify the specifics steps I need to take to determine whether it is a solution or not would be appreciated! Thanks

i.e. x-4=0 Pairs of numbers as possible solutions (4,7) (3,4) (0,-4).

Answered by Penny Nom.
The solutions of a quadratic 2001-01-30
From A student:
  1. Show that the product of the solutions of ax2 + bx + c = 0 is c/a.

  2. For each equation under the given condition, (a) find k and
    (b) find the other solution.
    kx2 - 2x + k = 0; one solution is -3

Answered by Penny Nom.
Integral solutions 2000-11-20
From David:
determine all pairs of integers (x,y) which satisfy the equation

6x2 - 3xy - 13x + 5y = -11

I got

y= (6x2-13x+11)/(3x-5)

and i don't konw how to continue

Answered by Claude Tardif.



Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.



Home Resource Room Home Resource Room Quandaries and Queries Mathematics with a Human Face About Math Central Problem of the Month Math Beyond School Outreach Activities Teacher's Bulletin Board Canadian Mathematical Society University of Regina PIMS