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Questions (21)
If the product of two positive integers is 363, and the least common multiple of them is 33, what is the sum of the two positive
1 answer
1,293 views
If the product of two positive integers is 363, and the least common multiple of them is 33, what is the sum of the two positive
0 answers
504 views
What is the sum of all possible real values of x that satisfies the equation 25[x(log5 x)]=x^3.
1 answer
513 views
Let r1,r2,r3 be the roots of polynomial P(x)=x^3+3x+1. Evaluate the product
3 ∏ (r^2+r +1) k k k=1
0 answers
573 views
If the expression (x^2+2x−1)^8 is completely expanded, what is the sum of the coefficients of the terms with even powers of x?
1 answer
432 views
Three roots of f(x)=x^4−2x^3+ax^2+bx+c are −5, −3 and 4. What is the value of a+b+c?
1 answer
840 views
What is the sum of all possible real values of x that satisfies the equation
x x^log5 =x^3/25.
3 answers
540 views
A video rental store offers 436 different movies for rent. The movies are categorized as Comedies, Action Movies, and Dramas. A
2 answers
641 views
Tetherball is a game played by kids. The equipment consists of a volleyball on a string, with the other end of the string tied
3 answers
541 views
A pair of fuzzy dice are hanging by a string in my car from the rear-view mirror. I hit the gas pedal, and while I accelerate
5 answers
2,968 views
Here's a neat trick. If your average ceramic bowl has a mass of 200 g, what is the difference in Newtons between the weight of
0 answers
434 views
A unit square is drawn in the Cartesian plane with vertices at (0,0),(0,1),(1,0),(1,1). Two points P,Q are chosen uniformly at
0 answers
435 views
A point P is uniformly chosen inside a regular hexagon of side length 3. For each side of the hexagon a line is drawn from P to
1 answer
705 views
There are 4 students in a class. A teacher wants them to each secretly choose a partner for a group project. If everyone
0 answers
526 views
Γ is a circle with chord AB. P is a point outside of Γ such that PA is tangent to Γ and ∠BPA=90∘. If AB=48 and PB=8, what
1 answer
394 views
Raoul wants to create a weekly schedule for going to the gym. He wants to go to the gym the same three days each week, and he
5 answers
760 views
PAC-MAN is a circle of radius 24 with a sector of angle π/3 removed. PAC-MAN eats circular pellets of radius 2. If PAC-MAN
2 answers
596 views
Consider the following system of inequalities:
(c−1)x^2+2cx+c+4≤0 ---- (1) cx^2+2(c+1)x+(c+1)≥0 ---- (2) The sum of all
0 answers
571 views
Three roots of f(x)=x^4−2(x^3)+a(x^2)+bx+c are −5, −3 and 4. What is the value of a+b+c?
1 answer
329 views
Consider all 3-term geometric sequences with first term 1 and with common ratio the square of an integer between 1 and 1000. How
5 answers
745 views
For how many odd positive integers n<1000 does the number of positive divisors of n divide n?
2 answers
523 views
Answers (6)
210
i also dunno how to do :'(
What is the sum of all possible real values of x that satisfies the equation xlog5x=x325.
dont get it
wrong
cant post :(