Question

Let $\alpha $, $\beta $ are the roots of $3x^2+x+5=0$

score 203 · Answer 1 · 2026-04-16 21:46:27

203

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Let $\alpha $, $\beta $ are the roots of $3x^2+x+5=0$

Published on 16 Apr 2026 - 21:46

score 524 · Answer 2 · 2026-04-15 12:35:03

524

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the maximum value of a function $f(x)=ax^2+bx+c$ is $10$. Given that $f(3)=f(-1)=2$ find $f(2)$

Published on 15 Apr 2026 - 12:35

score 114 · Answer 3 · 2026-04-11 20:03:55

114

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Distributing Constant To Factored Trinomial

Published on 11 Apr 2026 - 20:03

score 279 · Answer 4 · 2026-04-11 03:49:54

279

Views

Why does the "$bx$" term in the general quadratic $ax^2+bx+c$ shift the parabola along a parabolic arc?

Published on 11 Apr 2026 - 3:49

score 51 · Answer 5 · 2026-04-09 21:39:49

51

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How do I solve algebraic equations that are complex?

Published on 09 Apr 2026 - 21:39

score 1.5k · Answer 6 · 2026-04-09 07:09:55

1.5k

Views

System of quadratic equation with three variables

Published on 09 Apr 2026 - 7:09

score 3.5k · Answer 7 · 2026-04-16 13:11:10

3.5k

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The roots of the equation $x^2-3x-m(m+3)=0$ , where $m$ is a constant are

Published on 16 Apr 2026 - 13:11

score 110 · Answer 8 · 2026-04-16 03:50:31

110

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$\frac{2}{1-3i}$ is a root of $px^2-4x+4=0$,where $p\in\mathbb{R}$. Find $p$ and range of $r$ such that $px^2-4x+4=rx^2$ has two distinct real roots.

Published on 16 Apr 2026 - 3:50

score 122 · Answer 9 · 2026-04-17 04:02:56

122

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Given $6t^2 -5t-3$, find a quadratic whose roots are $m-n^2,n-m^2$ without computing $m,n$?

Published on 17 Apr 2026 - 4:02

score 52 · Answer 10 · 2026-04-08 23:26:25

52

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A relation involving solutions of a quadratic equation

Published on 08 Apr 2026 - 23:26

score 1.2k · Answer 11 · 2026-04-09 16:29:22

1.2k

Views

Analysis: Proving a unique mean value property of quadratic functions

Published on 09 Apr 2026 - 16:29

score 1.3k · Answer 12 · 2026-04-08 22:03:50

1.3k

Views

Discriminant of a quadratic equation

Published on 08 Apr 2026 - 22:03

score 3.5k · Answer 13 · 2026-04-13 17:03:09

3.5k

Views

Finding condition if a quadratic equation have at least one real root given interval of x

Published on 13 Apr 2026 - 17:03

score 1.2k · Answer 14 · 2026-04-14 05:37:18

1.2k

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Range of $\frac{x^{2}+2x+1}{x^{2}-8x+12}$, fast & easy method?

Published on 14 Apr 2026 - 5:37

score 55 · Answer 15 · 2026-04-09 20:56:48

55

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Algebra problem using quadratic equation

Published on 09 Apr 2026 - 20:56

List Question

Let $\alpha $, $\beta $ are the roots of $3x^2+x+5=0$

the maximum value of a function $f(x)=ax^2+bx+c$ is $10$. Given that $f(3)=f(-1)=2$ find $f(2)$

Distributing Constant To Factored Trinomial

Why does the "$bx$" term in the general quadratic $ax^2+bx+c$ shift the parabola along a parabolic arc?

How do I solve algebraic equations that are complex?

System of quadratic equation with three variables

The roots of the equation $x^2-3x-m(m+3)=0$ , where $m$ is a constant are

$\frac{2}{1-3i}$ is a root of $px^2-4x+4=0$,where $p\in\mathbb{R}$. Find $p$ and range of $r$ such that $px^2-4x+4=rx^2$ has two distinct real roots.

Given $6t^2 -5t-3$, find a quadratic whose roots are $m-n^2,n-m^2$ without computing $m,n$?

A relation involving solutions of a quadratic equation

Analysis: Proving a unique mean value property of quadratic functions

Discriminant of a quadratic equation

Finding condition if a quadratic equation have at least one real root given interval of x

Range of $\frac{x^{2}+2x+1}{x^{2}-8x+12}$, fast & easy method?

Algebra problem using quadratic equation

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