Question

Minimum value of RSS: Why does the the coefficient of $d^2$ being positive tell us that this value is a minimum?

score 340 · Answer 1 · 2026-04-13 23:47:09

340

Views

Minimum value of RSS: Why does the the coefficient of $d^2$ being positive tell us that this value is a minimum?

Published on 13 Apr 2026 - 23:47

score 99 · Answer 2 · 2026-04-10 03:50:22

99

Views

Roots of a quadratic equation.

Published on 10 Apr 2026 - 3:50

score 345 · Answer 3 · 2026-04-11 19:05:59

345

Views

How to stretch this quadratic function

Published on 11 Apr 2026 - 19:05

score 112 · Answer 4 · 2026-04-13 12:51:13

112

Views

How to systematically find roots of $x^2-x-132 = 0$ with Po-Shen Loh's method?

Published on 13 Apr 2026 - 12:51

score 60 · Answer 5 · 2026-04-25 11:21:17

60

Views

Exponential equation question (can't solve)

Published on 25 Apr 2026 - 11:21

score 73 · Answer 6 · 2026-04-15 23:17:34

73

Views

If $ax^2+(b+c)x+d+e=0$ has roots greater than $1$, then show that $ax^4+bx^3+cx^2+dx+e$ has at least one real root

Published on 15 Apr 2026 - 23:17

score 58 · Answer 7 · 2026-04-11 11:23:21

58

Views

Modular Arithmetic with Algebra

Published on 11 Apr 2026 - 11:23

score 1.5k · Answer 8 · 2026-04-15 19:44:30

1.5k

Views

$f(x),g(x)$,2 quadratic polynomials:$|f(x)|≥|g(x)|∀x ∈ R$. Find the number of distinct roots of equation $h(x)h''(x)+(h'(x))^2=0$ if $h(x)=f(x)g(x)$

Published on 15 Apr 2026 - 19:44

score 366 · Answer 9 · 2026-04-14 20:52:17

366

Views

Absolute values and Quadratic

Published on 14 Apr 2026 - 20:52

score 181 · Answer 10 · 2026-04-14 06:31:02

181

Views

Proofs based on convexity for quadratic functions

Published on 14 Apr 2026 - 6:31

score 74 · Answer 11 · 2026-04-15 05:06:29

74

Views

Show that $x-x^2=\frac{1}{3}$ has no real solutions.

Published on 15 Apr 2026 - 5:06

score 108 · Answer 12 · 2026-04-15 09:24:26

108

Views

Finding the range of $p$ such that $p = 3 \cos^2 x + 4 \sin x$

Published on 15 Apr 2026 - 9:24

score 119 · Answer 13 · 2026-04-11 16:08:48

119

Views

Intermediate Quadratic Equations

Published on 11 Apr 2026 - 16:08

score 516 · Answer 14 · 2026-04-12 04:22:35

516

Views

How to find the parameter b such that the following sum of quadratic expressions is minimized?

Published on 12 Apr 2026 - 4:22

score 31 · Answer 15 · 2026-04-12 12:36:12

31

Views

What is the Product of the roots of the first equation?

Published on 12 Apr 2026 - 12:36

List Question

Minimum value of RSS: Why does the the coefficient of $d^2$ being positive tell us that this value is a minimum?

Roots of a quadratic equation.

How to stretch this quadratic function

How to systematically find roots of $x^2-x-132 = 0$ with Po-Shen Loh's method?

Exponential equation question (can't solve)

If $ax^2+(b+c)x+d+e=0$ has roots greater than $1$, then show that $ax^4+bx^3+cx^2+dx+e$ has at least one real root

Modular Arithmetic with Algebra

$f(x),g(x)$,2 quadratic polynomials:$|f(x)|≥|g(x)|∀x ∈ R$. Find the number of distinct roots of equation $h(x)h''(x)+(h'(x))^2=0$ if $h(x)=f(x)g(x)$

Absolute values and Quadratic

Proofs based on convexity for quadratic functions

Show that $x-x^2=\frac{1}{3}$ has no real solutions.

Finding the range of $p$ such that $p = 3 \cos^2 x + 4 \sin x$

Intermediate Quadratic Equations

How to find the parameter b such that the following sum of quadratic expressions is minimized?

What is the Product of the roots of the first equation?

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