Question

Invariance of quadratic equation under a horizontal shift?

score 95 · Answer 1 · 2026-04-09 15:57:37

95

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Invariance of quadratic equation under a horizontal shift?

Published on 09 Apr 2026 - 15:57

score 297 · Answer 2 · 2026-04-16 03:16:24

297

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number of solutions of $f(f(f(f(x))))$

Published on 16 Apr 2026 - 3:16

score 72 · Answer 3 · 2026-04-15 11:15:18

72

Views

$ax^2 -bx +c =0$ where $a,b,c$ are natural nos. and it has roots lying in the interval $(1,2)$...

Published on 15 Apr 2026 - 11:15

score 105 · Answer 4 · 2026-04-13 20:05:47

105

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Prove that at least one real root of $ax^2+bx+c$ is in $(0;\sqrt{3}-1)$

Published on 13 Apr 2026 - 20:05

score 163 · Answer 5 · 2026-04-16 14:25:11

If roots of equation $ax^2+bx+c=0$ is $\alpha,\beta$ find the roots of equation $bcx^2+a(bc+a^2)x+ac^2=0$ in terms of $\alpha,\beta$

score 36 · Answer 6 · 2026-04-12 19:28:52

36

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Can we find $f$ such that $|(x+x^{-1}) - (a+a^{-1})| < f(|x - a|)$

Published on 12 Apr 2026 - 19:28

score 143 · Answer 7 · 2026-04-13 07:51:03

143

Views

A multivariate quadratic equation

Published on 13 Apr 2026 - 7:51

score 54 · Answer 8 · 2026-04-12 16:42:02

54

Views

Algebra of matrices and solving simultaneous equations

Published on 12 Apr 2026 - 16:42

score 386 · Answer 9 · 2026-04-13 02:07:51

386

Views

System of second degree equations in 2 variables

Published on 13 Apr 2026 - 2:07

score 42 · Answer 10 · 2026-05-03 11:09:03

42

Views

$-(1 + m)^2 - t - (-1 + r - w) (1 + r + w)$, solve for $w,m$ with known $t,r$?

Published on 03 May 2026 - 11:09

score 742 · Answer 11 · 2026-04-19 14:07:52

742

Views

Find the sum of all possible values of $a$ such that the following equation $(x - a)^2 + (x^2 - 3x + 2)^2 = 0$ has real root in $x$ :-

Published on 19 Apr 2026 - 14:07

score 315 · Answer 12 · 2026-04-15 23:46:02

315

Views

Geometric proof that the product of the $x$-intercepts equals the $y$-intercept for a monic quadratic

Published on 15 Apr 2026 - 23:46

score 2.1k · Answer 13 · 2026-04-12 15:33:06

2.1k

Views

Modelling the orchard yields with diminishing returns per tree

Published on 12 Apr 2026 - 15:33

score 53 · Answer 14 · 2026-04-24 03:46:11

53

Views

Parameters for which a quadratic matrix equation has a unique solution

Published on 24 Apr 2026 - 3:46

score 97 · Answer 15 · 2026-04-16 09:57:53

97

Views

If $\text{ }\big(x-\frac{1}x\big)=i\sqrt{2}$. Then compute $\bigg(x^{2187}-\frac{1}{x^{2187}}\bigg)$. Here $i=\sqrt{-1}$

Published on 16 Apr 2026 - 9:57

List Question

Invariance of quadratic equation under a horizontal shift?

number of solutions of $f(f(f(f(x))))$

$ax^2 -bx +c =0$ where $a,b,c$ are natural nos. and it has roots lying in the interval $(1,2)$...

Prove that at least one real root of $ax^2+bx+c$ is in $(0;\sqrt{3}-1)$

If roots of equation $ax^2+bx+c=0$ is $\alpha,\beta$ find the roots of equation $bcx^2+a(bc+a^2)x+ac^2=0$ in terms of $\alpha,\beta$

Can we find $f$ such that $|(x+x^{-1}) - (a+a^{-1})| < f(|x - a|)$

A multivariate quadratic equation

Algebra of matrices and solving simultaneous equations

System of second degree equations in 2 variables

$-(1 + m)^2 - t - (-1 + r - w) (1 + r + w)$, solve for $w,m$ with known $t,r$?

Find the sum of all possible values of $a$ such that the following equation $(x - a)^2 + (x^2 - 3x + 2)^2 = 0$ has real root in $x$ :-

Geometric proof that the product of the $x$-intercepts equals the $y$-intercept for a monic quadratic

Modelling the orchard yields with diminishing returns per tree

Parameters for which a quadratic matrix equation has a unique solution

If $\text{ }\big(x-\frac{1}x\big)=i\sqrt{2}$. Then compute $\bigg(x^{2187}-\frac{1}{x^{2187}}\bigg)$. Here $i=\sqrt{-1}$

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