Question

Help to solve a system equation: $x-y+xy=-4$; $xy(x-y)=-21$.

score 994 · Answer 1 · 2026-04-15 14:00:40

994

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Help to solve a system equation: $x-y+xy=-4$; $xy(x-y)=-21$.

Published on 15 Apr 2026 - 14:00

score 72 · Answer 2 · 2026-04-11 00:38:05

72

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Geometric Interpretation of Cardano's Method for Cubics

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score 51 · Answer 3 · 2026-04-15 23:22:48

51

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Prove: $k^3 - k( b c + c a + a b ) + 2 a b c = 0$ always has a negative root with all positive parameters $a, b, c$

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score 295 · Answer 4 · 2026-04-13 16:14:55

295

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34

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score 271 · Answer 12 · 2026-04-16 14:16:29

271

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153

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score 128 · Answer 15 · 2026-04-13 17:48:15

128

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List Question

Help to solve a system equation: $x-y+xy=-4$; $xy(x-y)=-21$.

Geometric Interpretation of Cardano's Method for Cubics

Prove: $k^3 - k( b c + c a + a b ) + 2 a b c = 0$ always has a negative root with all positive parameters $a, b, c$

condition for three distinct normals can be drawn from $(h,k)$ to Parabola

To find a relation between $a,b,c$ given a quadratic and a cubic epression

Proof verification for no int solution in cubic

Deriving expression for general cubic equation solution.

Solving a complex cubic equation

Finding parameters of an ellipse in terms of Semi-Latus Rectum and Directrix.

value of $a$ in Normal equation

Two roots of a cubic equation

If $a,b,c$ are the roots of $x^3+x^2-2x+1=0$ then what is the value of $\det\Delta$?

How do you find a coefficient for a polynomial whose roots are given?

cubic equation with two unknown and constraints

Cubic cyclic field families

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