Question

Find three distinct triples (a, b, c) consisting of rational numbers that satisfy $a^2+b^2+c^2 =1$ and $a+b+c= \pm 1$.

score 163 · Answer 1 · 2026-04-15 22:38:32

163

Views

Find three distinct triples (a, b, c) consisting of rational numbers that satisfy $a^2+b^2+c^2 =1$ and $a+b+c= \pm 1$.

Published on 15 Apr 2026 - 22:38

score 64 · Answer 2 · 2026-04-14 02:56:16

64

Views

How does $ab+ac+bc =0$ imply that $a+b+c = \pm 1$?

Published on 14 Apr 2026 - 2:56

score 187 · Answer 3 · 2026-04-14 10:05:30

187

Views

For which values of $a,b\in\mathbb{R}$ does the matrix have no solutions, one solution and infinite solutions.

Published on 14 Apr 2026 - 10:05

score 477 · Answer 4 · 2026-04-13 02:29:23

477

Views

Finding rational solutions to this system of equations

Published on 13 Apr 2026 - 2:29

score 91 · Answer 5 · 2026-04-13 09:38:26

91

Views

Tricky System of Equations

Published on 13 Apr 2026 - 9:38

score 97 · Answer 6 · 2026-04-16 07:50:45

97

Views

Question about exponential $2^{(x+3)^{(x+2)}} = 4^{x+2}$

Published on 16 Apr 2026 - 7:50

score 96 · Answer 7 · 2026-04-10 02:28:19

96

Views

What is the most efficient way to solve this system?

Published on 10 Apr 2026 - 2:28

score 73 · Answer 8 · 2026-04-14 04:09:43

73

Views

Why is $ y \le 0$ one of the solutions of the equation $\sqrt{x^2+y^2} = -y $?

Published on 14 Apr 2026 - 4:09

score 26 · Answer 9 · 2026-04-15 06:54:19

26

Views

How do you solve a system of equations that involves modular arithmetic?

Published on 15 Apr 2026 - 6:54

score 439 · Answer 10 · 2026-04-10 11:22:53

439

Views

System of equations and quadratic equation

Published on 10 Apr 2026 - 11:22

score 227 · Answer 11 · 2026-04-16 02:01:09

227

Views

How to solve the system of equations: $x+ \sqrt{y} =6$, $2 \sqrt{x} +y=10 $?

Published on 16 Apr 2026 - 2:01

score 187 · Answer 12 · 2026-04-10 20:31:50

187

Views

Solving a syestem of equations involving inner product

Published on 10 Apr 2026 - 20:31

score 38 · Answer 13 · 2026-04-13 06:53:37

38

Views

How can I write the equation of this graph?

Published on 13 Apr 2026 - 6:53

score 44 · Answer 14 · 2026-04-13 04:55:37

44

Views

System of 2 non-linear equations

Published on 13 Apr 2026 - 4:55

score 127 · Answer 15 · 2026-04-10 22:12:13

127

Views

System of four equations of four variables including second powers.

Published on 10 Apr 2026 - 22:12

List Question

Find three distinct triples (a, b, c) consisting of rational numbers that satisfy $a^2+b^2+c^2 =1$ and $a+b+c= \pm 1$.

How does $ab+ac+bc =0$ imply that $a+b+c = \pm 1$?

For which values of $a,b\in\mathbb{R}$ does the matrix have no solutions, one solution and infinite solutions.

Finding rational solutions to this system of equations

Tricky System of Equations

Question about exponential $2^{(x+3)^{(x+2)}} = 4^{x+2}$

What is the most efficient way to solve this system?

Why is $ y \le 0$ one of the solutions of the equation $\sqrt{x^2+y^2} = -y $?

How do you solve a system of equations that involves modular arithmetic?

System of equations and quadratic equation

How to solve the system of equations: $x+ \sqrt{y} =6$, $2 \sqrt{x} +y=10 $?

Solving a syestem of equations involving inner product

How can I write the equation of this graph?

System of 2 non-linear equations

System of four equations of four variables including second powers.

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