Question

nature of roots of Quadratic equation

score 77 · Answer 1 · 2026-04-11 09:00:45

77

Views

nature of roots of Quadratic equation

Published on 11 Apr 2026 - 9:00

score 17.1k · Answer 2 · 2026-04-16 22:55:18

17.1k

Views

Show that $x^2-8x+17>0$ for all real values of x

Published on 16 Apr 2026 - 22:55

score 246 · Answer 3 · 2026-04-14 08:26:12

246

Views

Minimize this real function on $\mathbb{R}^{2}$ without calculus?

Published on 14 Apr 2026 - 8:26

score 346 · Answer 4 · 2026-05-10 20:33:15

346

Views

How to factor a polynomial over finite fields?

Published on 10 May 2026 - 20:33

score 71 · Answer 5 · 2026-05-10 19:35:10

71

Views

How to classify the factorization of polynomials over finite fields?

Published on 10 May 2026 - 19:35

score 83 · Answer 6 · 2026-04-16 16:26:11

83

Views

show that $\mathbb{Q}(\sqrt[n]{2}) \neq \mathbb{Q}(\sqrt[n]{3})$

Published on 16 Apr 2026 - 16:26

score 773 · Answer 7 · 2026-05-10 15:03:35

773

Views

Prove $x+ y+ z= 3,\,x^{\,2}+ y^{\,2}+ z^{\,2}= 9\,\therefore\,y- x\leqq 2\sqrt{3}$ .

Published on 10 May 2026 - 15:03

score 64 · Answer 8 · 2026-04-12 19:16:54

64

Views

Problem in a question concerning Geometric progression and quadratic equations

Published on 12 Apr 2026 - 19:16

score 38 · Answer 9 · 2026-04-12 08:27:38

38

Views

Discriminants and quadratics algebra problem

Published on 12 Apr 2026 - 8:27

score 1.3k · Answer 10 · 2026-04-15 20:00:15

1.3k

Views

Under condition $2x^2 + y^2= 4$ for real numbers $x, y$, find the maximum and minimum value of $4x + y^2$.

Published on 15 Apr 2026 - 20:00

score 83 · Answer 11 · 2026-04-10 19:47:46

83

Views

How to interpret "has a solution" in this exercise?

Published on 10 Apr 2026 - 19:47

score 125 · Answer 12 · 2026-05-10 15:52:34

125

Views

Given numbers $a,b,c\geqq0$ and $-\frac{2}{11}\leqq k\leqq0$. Prove that $(k+1)^{6}(a+b+c)^{2}(\!ab+bc+ca\!)^{2}-81\prod\limits_{sym}(ka+b)\geqq0$ .

Published on 10 May 2026 - 15:52

score 546 · Answer 13 · 2026-04-15 02:54:33

546

Views

High School Exam Question: Straight Line Intersecting with Absolute Value Line(s), and Discriminants

Published on 15 Apr 2026 - 2:54

score 121 · Answer 14 · 2026-04-16 02:31:15

121

Views

Find all the integer solutions involving the Diophantine-equation $\frac{x+ y}{x^{2}+ y^{2}+ xy}= \frac{5}{19}$ .

Published on 16 Apr 2026 - 2:31

score 1.9k · Answer 15 · 2026-04-14 07:40:18

1.9k

Views

If $f(x) =5x^2 - 2kx + 1 < 0$ has exactly one integral solution, find the sum of all positive integral values of $k$.

Published on 14 Apr 2026 - 7:40

List Question

nature of roots of Quadratic equation

Show that $x^2-8x+17>0$ for all real values of x

Minimize this real function on $\mathbb{R}^{2}$ without calculus?

How to factor a polynomial over finite fields?

How to classify the factorization of polynomials over finite fields?

show that $\mathbb{Q}(\sqrt[n]{2}) \neq \mathbb{Q}(\sqrt[n]{3})$

Prove $x+ y+ z= 3,\,x^{\,2}+ y^{\,2}+ z^{\,2}= 9\,\therefore\,y- x\leqq 2\sqrt{3}$ .

Problem in a question concerning Geometric progression and quadratic equations

Discriminants and quadratics algebra problem

Under condition $2x^2 + y^2= 4$ for real numbers $x, y$, find the maximum and minimum value of $4x + y^2$.

How to interpret "has a solution" in this exercise?

Given numbers $a,b,c\geqq0$ and $-\frac{2}{11}\leqq k\leqq0$. Prove that $(k+1)^{6}(a+b+c)^{2}(\!ab+bc+ca\!)^{2}-81\prod\limits_{sym}(ka+b)\geqq0$ .

High School Exam Question: Straight Line Intersecting with Absolute Value Line(s), and Discriminants

Find all the integer solutions involving the Diophantine-equation $\frac{x+ y}{x^{2}+ y^{2}+ xy}= \frac{5}{19}$ .

If $f(x) =5x^2 - 2kx + 1 < 0$ has exactly one integral solution, find the sum of all positive integral values of $k$.

Trending Questions

Popular # Hahtags

Popular Questions