Question

Given f(x) is a polynomial function of x satisfying

score 83 · Answer 1 · 2026-04-13 00:45:33

83

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Given f(x) is a polynomial function of x satisfying

Published on 13 Apr 2026 - 0:45

score 40 · Answer 2 · 2026-04-11 11:10:27

40

Views

Finding the equation of the trajectory

Published on 11 Apr 2026 - 11:10

score 119 · Answer 3 · 2019-11-11 15:57:18

119

Views

Find all triples of non-negative real numbers $(a,b,c)$

Published on 11 Nov 2019 - 15:57

score 160 · Answer 4 · 2026-03-29 13:46:39

160

Views

How to solve a system of two equations with two unknowns?

Published on 29 Mar 2026 - 13:46

score 8.5k · Answer 5 · 2019-11-12 14:03:22

8.5k

Views

Find the values of a, b, c, and d from a matrix equation

Published on 12 Nov 2019 - 14:03

score 127 · Answer 6 · 2019-11-12 22:18:29

127

Views

$f(x)$ and $g(x)$ are linear function such that $\forall x$, $f(g(x))$ and $g(f(x))$ are identity functions. Compute $f(2006)$

Published on 12 Nov 2019 - 22:18

score 50 · Answer 7 · 2019-11-12 23:42:16

50

Views

Solving the system: $x''+y=1$,$y''+x=-1$ with $x(0)=1,x'(0)=1,y(0)=1,y'(0)=-1$

Published on 12 Nov 2019 - 23:42

score 160 · Answer 8 · 2026-04-12 13:47:06

160

Views

Conditions for consistent matrix

Published on 12 Apr 2026 - 13:47

score 88 · Answer 9 · 2019-11-13 16:33:11

88

Views

For all real $x$ the expression$ \frac{x^2-2x+4}{x^2+2x+4}$ lies between $\frac 13$ and $3$.

Published on 13 Nov 2019 - 16:33

score 512 · Answer 10 · 2026-04-10 13:38:50

512

Views

How to find the general solution set to a constrained system of linear equations

Published on 10 Apr 2026 - 13:38

score 55 · Answer 11 · 2026-04-09 19:08:46

55

Views

Linear transformation of overdetermined linear system

Published on 09 Apr 2026 - 19:08

score 128 · Answer 12 · 2026-04-12 05:27:09

128

Views

Proving rank equality and solution existence in Rouche-Capelli's theorem

Published on 12 Apr 2026 - 5:27

score 100 · Answer 13 · 2019-11-16 02:34:50

100

Views

Solve for positive real solutions of cyclic equations $x+y^2+2xy=9$, $y+z^2+2yz=47$, $z+x^2+2xz=16$

Published on 16 Nov 2019 - 2:34

score 133 · Answer 14 · 2026-04-11 23:15:34

133

Views

Find a homogeneous linear equation in $4$ variables with $3$ given vectors as solution.

Published on 11 Apr 2026 - 23:15

score 67 · Answer 15 · 2026-04-09 12:26:44

67

Views

Finding solutions of linear homogeneous system in integers and rationals.

Published on 09 Apr 2026 - 12:26

List Question

Given f(x) is a polynomial function of x satisfying

Finding the equation of the trajectory

Find all triples of non-negative real numbers $(a,b,c)$

How to solve a system of two equations with two unknowns?

Find the values of a, b, c, and d from a matrix equation

$f(x)$ and $g(x)$ are linear function such that $\forall x$, $f(g(x))$ and $g(f(x))$ are identity functions. Compute $f(2006)$

Solving the system: $x''+y=1$,$y''+x=-1$ with $x(0)=1,x'(0)=1,y(0)=1,y'(0)=-1$

Conditions for consistent matrix

For all real $x$ the expression$ \frac{x^2-2x+4}{x^2+2x+4}$ lies between $\frac 13$ and $3$.

How to find the general solution set to a constrained system of linear equations

Linear transformation of overdetermined linear system

Proving rank equality and solution existence in Rouche-Capelli's theorem

Solve for positive real solutions of cyclic equations $x+y^2+2xy=9$, $y+z^2+2yz=47$, $z+x^2+2xz=16$

Find a homogeneous linear equation in $4$ variables with $3$ given vectors as solution.

Finding solutions of linear homogeneous system in integers and rationals.

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