Question

Let $p,q,$ and $r$ be constants. One solution to the equation $(x-p)(x-q) = (r-p)(r-q)$ is $x=r$. Find the other soultion in terms of $p,q,$ and $r$.

score 399 · Answer 1 · 2026-04-16 18:36:42

Let $p,q,$ and $r$ be constants. One solution to the equation $(x-p)(x-q) = (r-p)(r-q)$ is $x=r$. Find the other soultion in terms of $p,q,$ and $r$.

score 47 · Answer 2 · 2026-04-10 17:56:47

47

Views

Finding coordinates of a vector, using vector methods.

Published on 10 Apr 2026 - 17:56

score 69 · Answer 3 · 2026-04-15 06:50:14

Determine the real number $A$ such that the following equation has a real answer for $C$ for every real $B $ : A² + B² + C² + 2ABC = 1

score 91 · Answer 4 · 2026-04-16 10:10:44

91

Views

Why do I get incorrect solutions $ x = 0 $ and $ x = 2 $ for $ x + 1 + \sqrt{4x + 1} = 0 $?

Published on 16 Apr 2026 - 10:10

score 145 · Answer 5 · 2026-04-28 18:01:07

145

Views

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score 56 · Answer 6 · 2026-04-12 01:56:15

56

Views

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score 206 · Answer 7 · 2026-04-15 10:35:43

206

Views

How do we know that the quadratic $3y^2-y-12$ has real root?

Published on 15 Apr 2026 - 10:35

score 80 · Answer 8 · 2026-04-15 13:13:20

80

Views

What's the rate of the stream's current?

Published on 15 Apr 2026 - 13:13

score 81 · Answer 9 · 2026-04-16 04:19:15

81

Views

Sign of $P(Δ)$ with $P(x)=ax²+bx+c$ and $Δ=b²-4ac$

Published on 16 Apr 2026 - 4:19

score 45 · Answer 10 · 2026-04-11 07:57:19

45

Views

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Published on 11 Apr 2026 - 7:57

score 71 · Answer 11 · 2026-04-11 16:21:51

71

Views

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score 145 · Answer 12 · 2026-04-16 13:27:14

145

Views

Proving that $x^2-2xy+6y^2-12x+2y+41\ge 0$ where $x,y \in\Bbb{R}$

Published on 16 Apr 2026 - 13:27

score 317 · Answer 13 · 2026-04-12 10:15:52

317

Views

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Published on 12 Apr 2026 - 10:15

score 52 · Answer 14 · 2026-04-18 22:48:12

52

Views

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Published on 18 Apr 2026 - 22:48

score 60 · Answer 15 · 2026-04-16 03:52:53

60

Views

Lagrange - Minimising area under parabola, my answer is wrong

Published on 16 Apr 2026 - 3:52

List Question

Let $p,q,$ and $r$ be constants. One solution to the equation $(x-p)(x-q) = (r-p)(r-q)$ is $x=r$. Find the other soultion in terms of $p,q,$ and $r$.

Finding coordinates of a vector, using vector methods.

Determine the real number $A$ such that the following equation has a real answer for $C$ for every real $B $ : A² + B² + C² + 2ABC = 1

Why do I get incorrect solutions $ x = 0 $ and $ x = 2 $ for $ x + 1 + \sqrt{4x + 1} = 0 $?

Solving quadratic matrix equation for $X$

Question on domain restriction of a quadratic

How do we know that the quadratic $3y^2-y-12$ has real root?

What's the rate of the stream's current?

Sign of $P(Δ)$ with $P(x)=ax²+bx+c$ and $Δ=b²-4ac$

Value of an algebric expression in a quadratic equation

An inequality constraint problem

Proving that $x^2-2xy+6y^2-12x+2y+41\ge 0$ where $x,y \in\Bbb{R}$

Obtaining a non-monic quadratic equation from complex roots

Change of P2 Basis - Checking my working

Lagrange - Minimising area under parabola, my answer is wrong

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