Intermediate/Advanced Algebra

For more advanced algebra topics, including Algebra II and Pre-Calculus.
shahar
zero by power of zero: Why does zero by zero equal to 1 and not to 0?
Replies
11
Views
1K
topsquark
topsquark
Qwertyuiop[]
Complex numbers: Solve the equation |z|^2 - Re(z^2) + iIm(iz) = 4 - 3i
Replies
1
Views
434
blamocur
blamocur
J
Need help understanding how Euler's totient function works.
Replies
8
Views
1K
blamocur
blamocur
O
By expanding both sides of the identity (1+x)^3 = (1+x)^3 (1+x)^2, show that 5C2 = 3C2 + 3C1*2C1 + 3C0*2C2
Replies
2
Views
537
Harry_the_cat
Harry_the_cat
V
Complex number query: "If Z = R + j(omega)L + 1/j(omega)C, express Z in (a+jb) form when..."
Replies
5
Views
950
topsquark
topsquark
Qwertyuiop[]
How to algebraically prove a function is injective/surjective?
Replies
8
Views
1K
Steven G
Steven G
M
During calculating null space from rref matrix some rows are with 1 variable so it give this variable value of zero so...
Replies
2
Views
510
Steven G
Steven G
D
I've come up with my own quadratic equation
Replies
6
Views
770
stapel
stapel
M
Confusing system of equation with four variables: ab+c+d=3, bc+d+a=5, cd+a+b=2, da+b+c=6
Replies
5
Views
992
medali
M
A
Explanation required please: x/40 = y remainder 3, x/7 = y remainder 5, if x > 70
Replies
6
Views
699
APlusMath
A
A
College Algebra: "The surface area S of a hot-air balloon is given by S(r)=4(pi)r2 where..."
Replies
3
Views
716
Steven G
Steven G
H
Functions are confusing. Why is log(x - 2) + log(x + 2) not the same function as log(x^2 - 4)?
Replies
10
Views
1K
Helenam
H
B
Can anyone teach me how do you get from right side to left side equation?
Replies
5
Views
566
bbqqcc123
B
D
Prove A is invertible iff A^T is invertible and, in that case, (A^{-1})^T = (A^T)^{-1}
Replies
15
Views
2K
Steven G
Steven G
K
Find the value of k for which equation (x+2)(x+k)=-9 has equal roots
Replies
3
Views
585
Dr.Peterson
Dr.Peterson
0
Arg vs arg: Let z = (1 - 7i)/(3 + 4i). Express z in the form a + bi. Find Arg z^2.
Replies
5
Views
927
pka
pka
T
Finding complex factors of 9z^3 - 18z^2 + 5z - 10 = 0, given z - 2 is a factor.
Replies
1
Views
605
Steven G
Steven G
Qwertyuiop[]
Sequence induction proof: u_0 = 3, u_n = (u_{n-1} + 2n^2 - 2)/(n^2) for N*
Replies
14
Views
1K
Dr.Peterson
Dr.Peterson
T
Finding the complex roots of an equation: z^2 - 4 cos(alpha) + 4 = 0, 0<alpha<pi/2
Replies
2
Views
797
pka
pka
T
Simplify 5√2 x √8 / 2√2
Replies
5
Views
783
Dr.Peterson
Dr.Peterson
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