Question

prove quadratic polynomial has no real roots

score 146 · Answer 1 · 2026-04-14 20:17:19

146

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prove quadratic polynomial has no real roots

Published on 14 Apr 2026 - 20:17

score 100 · Answer 2 · 2026-04-15 17:19:59

100

Views

Proving a given inequality $\frac{2}{9}<x^4+y^4<8$

Published on 15 Apr 2026 - 17:19

score 1.6k · Answer 3 · 2026-04-10 21:47:08

1.6k

Views

Is there a valid, "shortcut" method to convert a quadratic from vertex form to factored form?

Published on 10 Apr 2026 - 21:47

score 75 · Answer 4 · 2026-04-17 11:09:38

75

Views

Simple solution to this algebraic equation?

Published on 17 Apr 2026 - 11:09

score 28 · Answer 5 · 2026-04-15 11:58:07

28

Views

Looking for a familiy of quadratic functions with vertices along a line

Published on 15 Apr 2026 - 11:58

score 244 · Answer 6 · 2026-04-17 10:28:38

244

Views

Find $\frac {\alpha}{\beta} + \frac {\beta}{\alpha}$ if $\alpha^2+3 \alpha+1=\beta^2+3\beta+1=0$

Published on 17 Apr 2026 - 10:28

score 305 · Answer 7 · 2026-04-15 01:26:28

305

Views

Solve system of equations with product

Published on 15 Apr 2026 - 1:26

score 106 · Answer 8 · 2026-04-15 04:33:15

106

Views

State 2 values of $x$ for which the value of $3x^2+4x-14$ is a perfect square.

Published on 15 Apr 2026 - 4:33

score 102 · Answer 9 · 2026-04-14 19:11:45

Why do we say that in a perfect squared quadratic, for example $(x+5)^2$ has two roots when it clearly crosses the x axis once?

score 89 · Answer 10 · 2026-04-25 03:42:49

89

Views

How to solve $2x^2+2x+3=0,\:x\in \mathbb{F}_5$

Published on 25 Apr 2026 - 3:42

score 64 · Answer 11 · 2026-04-16 14:23:06

64

Views

Find $a$ if $(a+3)x^2-4x+2<0$ $\forall x\in [-2,1]$

Published on 16 Apr 2026 - 14:23

score 255 · Answer 12 · 2026-03-27 03:42:20

255

Views

What is the formula for a quadratic curve with defined crossing and maxima points?

Published on 27 Mar 2026 - 3:42

score 68 · Answer 13 · 2026-04-16 08:43:05

68

Views

Prove that the roots of $ax^2+bx+c=0$, $a\neq 0$ and $a,b,c\in R$ will be real if $a(a+7b+49c)+c(a-b+c)<0$

Published on 16 Apr 2026 - 8:43

score 94 · Answer 14 · 2026-04-14 13:30:00

94

Views

$\alpha $ and $\alpha^2 $ are the roots of the equation

Published on 14 Apr 2026 - 13:30

score 710 · Answer 15 · 2026-04-09 22:02:38

710

Views

The values of $x$ obtained from the equation $ax^2+by^2=1$ and $ax+by=1$ will be equal if:

Published on 09 Apr 2026 - 22:02

List Question

prove quadratic polynomial has no real roots

Proving a given inequality $\frac{2}{9}<x^4+y^4<8$

Is there a valid, "shortcut" method to convert a quadratic from vertex form to factored form?

Simple solution to this algebraic equation?

Looking for a familiy of quadratic functions with vertices along a line

Find $\frac {\alpha}{\beta} + \frac {\beta}{\alpha}$ if $\alpha^2+3 \alpha+1=\beta^2+3\beta+1=0$

Solve system of equations with product

State 2 values of $x$ for which the value of $3x^2+4x-14$ is a perfect square.

Why do we say that in a perfect squared quadratic, for example $(x+5)^2$ has two roots when it clearly crosses the x axis once?

How to solve $2x^2+2x+3=0,\:x\in \mathbb{F}_5$

Find $a$ if $(a+3)x^2-4x+2<0$ $\forall x\in [-2,1]$

What is the formula for a quadratic curve with defined crossing and maxima points?

Prove that the roots of $ax^2+bx+c=0$, $a\neq 0$ and $a,b,c\in R$ will be real if $a(a+7b+49c)+c(a-b+c)<0$

$\alpha $ and $\alpha^2 $ are the roots of the equation

The values of $x$ obtained from the equation $ax^2+by^2=1$ and $ax+by=1$ will be equal if:

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