List questions from systems-of-equations

Published on 09 Apr 2026 - 6:59

114

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If $x^2+y^2+z^2=1$ and $x+y+z=0$, is it true that $x^4+y^4+z^4=\frac{1}{2}$?

Published on 17 Apr 2026 - 11:32

227

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Find $x^2+y^2$ if $x^2-\frac{2}{x}=3y^2$ and $y^2-\frac{11}{y}=3x^2$

Published on 17 Apr 2026 - 4:45

107

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How does the equations resolve to the given equation?

Published on 08 Apr 2026 - 19:49

45

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A solution to a generalized system equation with conditions

Published on 10 Apr 2026 - 16:16

1.2k

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Plot phase plane for system of differential equations

Published on 13 Apr 2026 - 18:59

123

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Given $ x_1 + x_2 + .... + x_{1994} = 1994$ find all $x_i$

Published on 25 Mar 2026 - 15:41

168

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If $2f(x)+3f(\frac {1}{x})=\frac {4x^2+6}{x}$ and $f^{-1}(x)=1$ then find the value of $x$

Published on 17 Apr 2026 - 8:36

42

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Why do we require $ps-qr \neq 0$ in order to be able to solve the simultaneous equations $c_1p + c_2q = \alpha, c_1r + c_2s = \beta$?

Published on 14 Apr 2026 - 18:02

95

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Trigonometric system of 3 modular equations

Published on 25 Mar 2026 - 7:42

229

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Work Proof... Need help!

Published on 08 Apr 2026 - 23:17

529

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System of two cubic equations: $x+y^2 = y^3$, $y+x^2=x^3$

Published on 16 Apr 2026 - 20:08

93

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find impossible solutions for matrix with parameter variable

Published on 12 Apr 2026 - 8:47

74

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Find y from given information.

Published on 14 Apr 2026 - 2:33

213

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Solving system of equations with boundary conditions

Published on 14 Apr 2026 - 14:17

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Tips on disproving a speeding ticket using math/physics

If $x^2+y^2+z^2=1$ and $x+y+z=0$, is it true that $x^4+y^4+z^4=\frac{1}{2}$?

Find $x^2+y^2$ if $x^2-\frac{2}{x}=3y^2$ and $y^2-\frac{11}{y}=3x^2$

How does the equations resolve to the given equation?

A solution to a generalized system equation with conditions

Plot phase plane for system of differential equations

Given $ x_1 + x_2 + .... + x_{1994} = 1994$ find all $x_i$

If $2f(x)+3f(\frac {1}{x})=\frac {4x^2+6}{x}$ and $f^{-1}(x)=1$ then find the value of $x$

Why do we require $ps-qr \neq 0$ in order to be able to solve the simultaneous equations $c_1p + c_2q = \alpha, c_1r + c_2s = \beta$?

Trigonometric system of 3 modular equations

Work Proof... Need help!

System of two cubic equations: $x+y^2 = y^3$, $y+x^2=x^3$

find impossible solutions for matrix with parameter variable

Find y from given information.

Solving system of equations with boundary conditions

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