List questions from quadratics

Published on 14 Dec 2019 - 16:48

122

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$\begin{array}{|l}x^2-y^2=7 \\ x^2+xy+y^2=37\end{array}$

Published on 27 Mar 2026 - 4:18

218

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Conjecture: All $x^2+1$ primes for $x>90$ can be represented as the sum of five $x^2+1$ primes.

Published on 26 Mar 2026 - 17:53

78

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Prove non-linear system has unique solution

Published on 17 Dec 2019 - 14:23

1.4k

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Meaning of coincident roots

Published on 26 Mar 2026 - 12:35

1.9k

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Minimum value of quadratic equation

Published on 19 Dec 2019 - 21:15

72

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Need help with this quadratic questions. Many thanks.

Published on 20 Dec 2019 - 18:05

181

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Find $xy+yz+zx$, given quadratic form of equations.

Published on 28 Mar 2026 - 0:29

204

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Roots of $x^2+bx+c=0$ with $|b|\leq 1$ and $|c|\leq 1$ have absolute value at most the Golden Ratio. Coincidence?

Published on 25 Mar 2026 - 15:44

128

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$\frac{x}{y}-\frac{y}{x}=\frac56$ and $x^2-y^2=5$

Published on 22 Dec 2019 - 17:24

87

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$\frac5x-\frac3y=-4$ and $\frac3{x^2}+\frac6{y^2}=\frac{11}3$

Published on 22 Dec 2019 - 19:39

1.6k

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The condition that Euler's prime generating polynomial is a composite number

Published on 23 Dec 2019 - 9:35

87

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How to find result of system $x+y^2-4=0$ and $y+x^2-4=0$ without using the quartic formula

Published on 27 Mar 2026 - 2:37

79

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Inequality with two variables

Published on 01 Apr 2026 - 20:56

101

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Let $x_1,x_2 \in \mathbb{R}$ be the roots of the equation $x^2+px+q=0$

Published on 24 Dec 2019 - 23:05

List Question

Find factor $f(x)$ conmmon to two quartic equation

$\begin{array}{|l}x^2-y^2=7 \\ x^2+xy+y^2=37\end{array}$

Conjecture: All $x^2+1$ primes for $x>90$ can be represented as the sum of five $x^2+1$ primes.

Prove non-linear system has unique solution

Meaning of coincident roots

Minimum value of quadratic equation

Need help with this quadratic questions. Many thanks.

Find $xy+yz+zx$, given quadratic form of equations.

Roots of $x^2+bx+c=0$ with $|b|\leq 1$ and $|c|\leq 1$ have absolute value at most the Golden Ratio. Coincidence?

$\frac{x}{y}-\frac{y}{x}=\frac56$ and $x^2-y^2=5$

$\frac5x-\frac3y=-4$ and $\frac3{x^2}+\frac6{y^2}=\frac{11}3$

The condition that Euler's prime generating polynomial is a composite number

How to find result of system $x+y^2-4=0$ and $y+x^2-4=0$ without using the quartic formula

Inequality with two variables

Let $x_1,x_2 \in \mathbb{R}$ be the roots of the equation $x^2+px+q=0$

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