List questions from quadratics

Published on 15 Apr 2026 - 7:21

70

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Given two different quadratic equations in x and y separately, find an ordered pair which satisfies an eqation containing their products.

Published on 15 Apr 2026 - 13:56

115

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Unusual quadratic matrix equation

Published on 11 Apr 2026 - 1:49

258

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If $a(p+q)^2+2bpq+c=0$ and $a(p+r)^2+2bpr+c=0$ then find $qr$

Published on 17 Apr 2026 - 1:02

3.6k

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If $ax^2+bx+c = 0$ and $bx^2+cx + a = 0$ have a common root and $a\neq 0$, then find $\frac{a^3+b^3+c^3}{abc}$

Published on 16 Apr 2026 - 0:22

193

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Common complex roots

Published on 24 Apr 2026 - 3:35

1.9k

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How can the sum of squares be negative?

Published on 09 Apr 2026 - 12:37

2k

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Roots of $abc^2x^2 + 3a^2 c x + b^2cx-6a^2 -ab +2b^2 = 0$ are rational

Published on 17 Apr 2026 - 3:53

263

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Quadratic equation with roots $\alpha$ and $\beta$

Published on 11 Apr 2026 - 14:33

61

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Roots of a polynomials by observation.

Published on 16 Apr 2026 - 15:26

69

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How to find the value of this expression

Published on 11 Apr 2026 - 23:51

984

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Norms of Quadratic Rings in General and their Factoring

Published on 12 Apr 2026 - 20:40

129

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Finding possible quadratic equations given conditions of their roots

Published on 10 Apr 2026 - 15:58

79

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Let x, y be positive reals such that $1 \over x$ + $1 \over y$ $\le 1$...

Published on 14 Apr 2026 - 19:51

95

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Implications of the two solutions in a quadratic

Published on 16 Apr 2026 - 1:17

List Question

If $a,b$ are roots of $3x^2+2x+1$ then find the value of an expression

Given two different quadratic equations in x and y separately, find an ordered pair which satisfies an eqation containing their products.

Unusual quadratic matrix equation

If $a(p+q)^2+2bpq+c=0$ and $a(p+r)^2+2bpr+c=0$ then find $qr$

If $ax^2+bx+c = 0$ and $bx^2+cx + a = 0$ have a common root and $a\neq 0$, then find $\frac{a^3+b^3+c^3}{abc}$

Common complex roots

How can the sum of squares be negative?

Roots of $abc^2x^2 + 3a^2 c x + b^2cx-6a^2 -ab +2b^2 = 0$ are rational

Quadratic equation with roots $\alpha$ and $\beta$

Roots of a polynomials by observation.

How to find the value of this expression

Norms of Quadratic Rings in General and their Factoring

Finding possible quadratic equations given conditions of their roots

Let x, y be positive reals such that $1 \over x$ + $1 \over y$ $\le 1$...

Implications of the two solutions in a quadratic

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