Question

Finding a quadratic equation with roots $x=α^2$ and $x=β^2$

score 81 · Answer 1 · 2020-03-09 22:36:10

81

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Finding a quadratic equation with roots $x=α^2$ and $x=β^2$

Published on 09 Mar 2020 - 22:36

score 228 · Answer 2 · 2026-03-25 23:52:30

228

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Finding the formula for a parabola from the control points of a bezier

Published on 25 Mar 2026 - 23:52

score 33 · Answer 3 · 2020-03-10 20:35:23

33

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Factor quadratic equation formula

Published on 10 Mar 2020 - 20:35

score 40 · Answer 4 · 2020-03-11 15:31:16

40

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Factorisation of a quadratic equation

Published on 11 Mar 2020 - 15:31

score 36 · Answer 5 · 2020-03-12 14:25:01

36

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How to do a quick estimation if $x_2 \ll x_1$ holds for the roots of a quadratic equation - to apply quick and easy root-finding formula?

Published on 12 Mar 2020 - 14:25

score 60 · Answer 6 · 2020-03-13 17:00:40

60

Views

Roots of quadratic with $a$ and $8a+3b+c$ of the same sign cannot lie in (2,4)

Published on 13 Mar 2020 - 17:00

score 154 · Answer 7 · 2020-03-16 14:08:27

154

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What is the condition that the following equation has four real roots?

Published on 16 Mar 2020 - 14:08

score 82 · Answer 8 · 2020-03-16 22:04:45

82

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unsure of reasoning behind a "shortcut" method to solve $(15y+24)^2 = 12(20y^2 +64y +51)$

Published on 16 Mar 2020 - 22:04

score 208 · Answer 9 · 2020-03-17 07:38:39

Let $\alpha$ and $\beta$ be the roots of $x^2-x-1=0$. If $P_k=(\alpha)^k+(\beta)^k$, $k\ge 1$, then prove that-

score 106 · Answer 10 · 2026-03-25 17:18:25

106

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Comparing $2$ infinite continued fractions

Published on 25 Mar 2026 - 17:18

score 2.7k · Answer 11 · 2020-03-18 16:46:00

2.7k

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The value of parameter $a$ for which $\dfrac{ax^2+3x-4}{a+3x-4x^2}$ takes all real values for $x\in R$ are:

Published on 18 Mar 2020 - 16:46

score 286 · Answer 12 · 2026-04-02 12:38:49

286

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Find the sum of maximum value of $x_1$ and minimum value of $x_2$ for the following given data.

Published on 02 Apr 2026 - 12:38

score 740 · Answer 13 · 2020-03-19 02:53:13

740

Views

Generalizing the Quadratic Formula to a Field with Characteristic $\neq 2$

Published on 19 Mar 2020 - 2:53

score 3.6k · Answer 14 · 2026-03-26 01:04:48

3.6k

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The equation $x^4-2x^3-3x^2+4x-1=0$ has four distinct real roots $x_1,x_2,x_3,x_4$ such that $x_1<x_2<x_3<x_4$ and product of two roots is unity.

Published on 26 Mar 2026 - 1:04

score 197 · Answer 15 · 2026-03-25 12:41:22

197

Views

$\frac{a}{b}+ \frac{b}{c} + \frac{c}{a} \geq \frac{9(a^2+b^2+c^2)}{(a+b+c)^2}$

Published on 25 Mar 2026 - 12:41

List Question

Finding a quadratic equation with roots $x=α^2$ and $x=β^2$

Finding the formula for a parabola from the control points of a bezier

Factor quadratic equation formula

Factorisation of a quadratic equation

How to do a quick estimation if $x_2 \ll x_1$ holds for the roots of a quadratic equation - to apply quick and easy root-finding formula?

Roots of quadratic with $a$ and $8a+3b+c$ of the same sign cannot lie in (2,4)

What is the condition that the following equation has four real roots?

unsure of reasoning behind a "shortcut" method to solve $(15y+24)^2 = 12(20y^2 +64y +51)$

Let $\alpha$ and $\beta$ be the roots of $x^2-x-1=0$. If $P_k=(\alpha)^k+(\beta)^k$, $k\ge 1$, then prove that-

Comparing $2$ infinite continued fractions

The value of parameter $a$ for which $\dfrac{ax^2+3x-4}{a+3x-4x^2}$ takes all real values for $x\in R$ are:

Find the sum of maximum value of $x_1$ and minimum value of $x_2$ for the following given data.

Generalizing the Quadratic Formula to a Field with Characteristic $\neq 2$

The equation $x^4-2x^3-3x^2+4x-1=0$ has four distinct real roots $x_1,x_2,x_3,x_4$ such that $x_1<x_2<x_3<x_4$ and product of two roots is unity.

$\frac{a}{b}+ \frac{b}{c} + \frac{c}{a} \geq \frac{9(a^2+b^2+c^2)}{(a+b+c)^2}$

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