Intermediate/Advanced Algebra

For more advanced algebra topics, including Algebra II and Pre-Calculus.
O
Let x_1, ..., x_n be in [-a, b], a,b>0. Suppose x_1 + ... + x_n = 0. Prove x_1^2 + ... + x_n^2 <= nab.
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1
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524
MarkFL
MarkFL
A
why are there imaginary solutions to equation "x^4 = 256"?
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11
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3K
allegansveritatem
A
B
"Marcos and Jennifer want to paint over the graffiti on a wall of a building...."
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4
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802
MarkFL
MarkFL
D
Consider the arithmetic progression: 2+5+8+11+14+···. State 1st term, common difference. Find 50th term. Calculate...
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5
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2K
MarkFL
MarkFL
G
Using the product rule to simplify √(45x^2) (don't understand the process or why absolute value is used)
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6
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3K
Otis
Otis
M
[SOLVED] Solve z^4 = (-4i)^2 in trig form, and express on complex plane
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4
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864
HallsofIvy
H
V
Is my interpretation of this question about runtime algorithms correct?
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14
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2K
Dr.Peterson
Dr.Peterson
S
Prove that numbers in the form of 2^k + 1 are not prime numbers. For example 2^{2017} + 1
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4
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1K
ksdhart2
K
M
Can somebody please check my work? "Solve equation z^4=(-4i)^2 and show results on complex plane."
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5
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842
Marija
M
F
Let B be a B-tree of order m, containing N items. Prove by induction that B has N+1 leaves.
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0
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561
ferrari_M
F
A
what's happening here? (printed area v. blue margins: my answer works, book's answer doesn't)
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13
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2K
Steven G
Steven G
N
Need help with a 'x' and 'y' axis based question (Television screen sizes)
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2
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1K
Harry_the_cat
Harry_the_cat
M
Compare cardinalities: | (0,1) | = | (0,2] ∪ (4,7) |
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7
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2K
pka
pka
M
How to find the quadratic equation of best fit for five points in the shape of a parabola?
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3
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2K
JeffM
J
Jacob
Help check my calculation? "If f(x) = 2x - 3 & g(x) = x^2+5, find (a) gf(2) = g(f(2)), (b) fg(-3) = f(g(-3))
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4
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1K
HallsofIvy
H
A
Separation of Variables?
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7
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1K
Dr.Peterson
Dr.Peterson
M
Projectile motion: Find the angle of projection and the magnitude of the initial velocity.
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2
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1K
mathsedu123
M
L
Word Equations
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2
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631
Otis
Otis
F
Tangent to a circle
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6
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834
Dr.Peterson
Dr.Peterson
M
Set theory - cardinality
2
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20
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2K
Steven G
Steven G
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