logarithm

Solve for X:

sets and relation

If A = {(n⁴ + 4 n² + 5)/n, n Ɛ Z}, then the number of elements of A are ..........

Sets and relation

If the sets A and B are such that

A = {n Ɛ N; 1≤ n ≤40 and 3 divides n}

B = {n Ɛ N; 1≤ n ≤35 and 6 divides n}

Then the number of elements of A-B are -------

number and division

Show that the number 444²⁰¹⁰ + 9 is divisible by 5.

Polynomial

Solve for x: reciprocal quadratics

2x³ + 3x² + 3x + 2 = 0, 

Polynomial

Solve for x:

x³ - 3x² – 5x + 7 = 0, and x₁= 1 - 2√2

polynomials

Find the other roots of the polynomial:

x³ - 3x² – 3x + 1 = 0, and x₁= 2 - √3

Polynomials

Find the other roots of the polynomial:

x⁴ – 2x³ – 2x – 1 = 0, and x₁= 1 - √2 

factorize

Factorize:

x³ – 7x + 6

 

logarithm

solve for x:

 

logarithm

Solve for x:

logarithm

Solve for x:

logarithm

Solve for X:

logarithm

Solve for x:



   

logarithm

Solve:

Probability

 
If 3 points of a triangle lie on the circumference of a Circle, then what is the Probability of the triangle being an acute angle triangle.
Gator Competitive Exam 2013

miscellaneous equations

Solve for x and y:

x² – 2xy = 24

xy - 2y² = 4

miscellaneous equations

Solve the equations:

3x² - 5y² = 7

3xy - 4y² = 2

miscellaneous equations

Solve for x and y

x² - xy + y² = 39

x³+ y³ = 351

miscellaneous equations

Solve for x and y:

x² + xy + y² = 37

x³- y³ = 37

miscellaneous equations,

Solve:   

 x⁴ + x²y² + y⁴ = 21

 x² + xy + y² = 7

miscellaneous equations

Solve the equation: x - y = 1

x³- y³ = 19

miscellaneous equations

Solve the equations:

X³+ y³ = 35

X + y = 5

miscellaneous equations

Solve the equation:

X² – 25y² = 156

X + 5y = 26

making the subject of the equation

The two expressions

                                      and                                          
 
are found by different methods for volume of a certain solid. Prove that they are equivalent provided that 

                       London Matriculate

numbers

The number of pairs (m, n) of positive integers such that  is ?

miscellaneous equations

miscellaneous equations

miscellaneous equations

square roots

Express the square root of

(2c² + cd – 3d²) (3c² - cd – 2d²) (6c² + 13cd + 6d²)

as the product of three simple factors

miscellaneous equations

Find the value of x and y

(x² + y²)(x + y) = 15

x² + x + y² + y = 8

miscellaneous equations,

If x + y + z = 14

 y² + z² - x² = 46

And, yz = 9

Find x, y and z

miscellaneous equations,

Solve:  ax³ = by³ = cz³,

And, (1/x) + (1/y) + (1/z) = (1/d)

Show that ax² + by² + cz² = d² (a^⅓ + b^⅓ + c^⅓)³

miscellaneous equations

Solve: miscellaneous

(x/y) + (3y/x) = 7/2

(x + y)(x + 3y) = 15

SImultaneous equation of more than 2 variables

Solve of x, y and z

x - y/5 = 6
y - z/7 = 8
z - x/2 = 10

SImultaneous equation of more than 2 variables

Solve the system of equations:

x/2 + y/3 + z/6 = 12
y/2 + z/3 - x/6 = 8
z/3 + x/2 = 10

SImultaneous equation of more than 2 variables

Solve the system of equations:

(y + z)/4 = (z + x)/3 = (x + y)/2

x + y + z = 27

SImultaneous equation of more than 2 variables

Solve the system of equations:

x + y = 6
y + z = 10
z + x = 10

SImultaneous equation of more than 2 variables

Solve for x, y and z

x + z = 2y
9x + 3z = 8y
2x + 3y + 5z = 36

SImultaneous equation of more than 2 variables

Solve the equation:

2x + y + z = 8
5x - 3y + 2z + 3
7x + y + 3z = 20

SImultaneous equation of more than 2 variables

Simultaneous equation with 3 unknown:

x + y - z = 8
4x - y + 3z = 26
2x + y - 4z = 8

SImultaneous equation of more than 2 variables

Simultaneous equation with 3 unknowns:

Solve the equation:

x + y + z = 7
2x + 3y - z = 0
3x + 4y + 2z = 17

SImultaneous equation of more than 2 variables

Solve the system of Equation:

y + z - x = z + x - 3y = 1/2(x + y - 2z) = 1

SImultaneous equation of more than 2 variables

Solve the Equation:

5x - 4y + z = 3
3x + y - 2z = 31
x + 4y + z = 15

Question papers of IMO

Question Papers of IMO since its inception.



http://www.scribd.com/doc/76646256/Math-Olympiad-Problems-Collection-V1

Circle

Circle O (with positive area) has diameter AB, and C lies on

O. Compute the maximum possible ratio of the area of ∆ABC to the area of circle O.

Gator Mathematics Competition 2013

division

 

Quadratic Equation

    

Coordinate Geometry

Compute the area of the triangle with vertices at the coordinates (1337, 1337), (1337, 1344), and (1349, 1337)

 Gator Mathematics Competition 2013

simultaneous equation

Compute the numerical value of V/ x³, for some  nonzero V in the system of equations:

y + 2 z = λyz

x + 2z = λxz

2x + 2y = λxy

xyz = V 

 (Gator Maths Competition 2013)

identification, motivation and support of mathematical talent in European schools

http://www.scribd.com/doc/77547510/null

Mathematical Olympiad and other scholarship research Program

this site contains comprehensive details about  Mathematical Olympiad and other scholarship research Program.

It talks of resources and contact points.

http://www.scribd.com/doc/99093775/Mathematical-Book-2011-12


very very useful

teachers day

for all my teachers on teachers day

http://www.youtube.com/watch?v=zXPC8lXEanI

nanu

teaching resources

good place for resources.( also check "reference books" under "Headings")

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Regards,
soma | 

Rationalize

Rationalize:

Rationalize

Find the value of:

Rationalization

  Rationalize:

Rationalize

Rationalize:

Rationalize

Find the value of :

Rationalize

Rationalize:





Simplify:

Rationalize

Rationalize:

 

Express in simplest form:

Rationalize

Rationalize:

quadratic equation

Solve the equation:

quadratic equation

solve for x:

Quadratic Equations

Solve for x:

quadratic equation

solve for x:

quadratic equation

Solve for x:

quadratic equations

Solve for x:

quadratic equations

Solve for x: