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Question on completing the square obtaining the form $a(x+p)^2+q$

score 70 · Answer 1 · 2026-03-25 12:37:35

70

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Question on completing the square obtaining the form $a(x+p)^2+q$

Published on 25 Mar 2026 - 12:37

score 41 · Answer 2 · 2017-01-06 14:40:05

41

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About some difficulties in calculations

Published on 06 Jan 2017 - 14:40

score 135 · Answer 3 · 2026-03-31 22:28:02

135

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Find all values of $a$ for which the system of equations it has exactly two solutions

Published on 31 Mar 2026 - 22:28

score 42 · Answer 4 · 2017-01-06 18:31:05

42

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Irreducible factorization of quadratic function with complex roots?

Published on 06 Jan 2017 - 18:31

score 701 · Answer 5 · 2017-01-07 03:23:40

701

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roots of quadratic polynomials are positive integer numbers

Published on 07 Jan 2017 - 3:23

score 86 · Answer 6 · 2017-01-07 05:54:32

86

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A Theatre Loses $5$ Seats Every $25$ Cents Added To Ticket Price

Published on 07 Jan 2017 - 5:54

score 106 · Answer 7 · 2017-01-07 10:09:59

106

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Find all complex numbers $z$ such that given quadratic has real solution

Published on 07 Jan 2017 - 10:09

score 75 · Answer 8 · 2026-04-04 08:41:08

75

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Maximum value of $|x-y|$

Published on 04 Apr 2026 - 8:41

score 124 · Answer 9 · 2017-01-07 15:08:33

124

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$ f(g(h(x)))=0 $ has roots $1;2;..;8$

Published on 07 Jan 2017 - 15:08

score 260 · Answer 10 · 2026-03-26 07:44:14

260

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How many rational solutions does $(x^2+4x+8)^2+3x(x^2+4x+8)+2x^2$ have?

Published on 26 Mar 2026 - 7:44

score 75 · Answer 11 · 2017-01-08 01:24:51

75

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There is a single pair $(a,b)$ such that $x^2+2(1+a)x+(3a^2+4ab+4b^2+2)=0$. For this pair, what is $a+b$?

Published on 08 Jan 2017 - 1:24

score 53 · Answer 12 · 2017-01-08 07:52:07

Let $a,b \in N$ and $p$ be a prime . If $ax^2+bx+c=p$ has two distinct integral values of $x$ .Show that $ax^2+bx+c = 2p$ has no integral value.

score 451 · Answer 13 · 2017-01-08 07:53:54

451

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quadratic equations roots related

Published on 08 Jan 2017 - 7:53

score 141 · Answer 14 · 2026-03-25 06:06:33

141

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Prove the following inequality $6 \cdot 3^\frac18-5 > 3^{\frac14}$

Published on 25 Mar 2026 - 6:06

score 30 · Answer 15 · 2017-01-08 21:19:30

30

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Difficulty finding point A using two equations

Published on 08 Jan 2017 - 21:19

List Question

Question on completing the square obtaining the form $a(x+p)^2+q$

About some difficulties in calculations

Find all values of $a$ for which the system of equations it has exactly two solutions

Irreducible factorization of quadratic function with complex roots?

roots of quadratic polynomials are positive integer numbers

A Theatre Loses $5$ Seats Every $25$ Cents Added To Ticket Price

Find all complex numbers $z$ such that given quadratic has real solution

Maximum value of $|x-y|$

$ f(g(h(x)))=0 $ has roots $1;2;..;8$

How many rational solutions does $(x^2+4x+8)^2+3x(x^2+4x+8)+2x^2$ have?

There is a single pair $(a,b)$ such that $x^2+2(1+a)x+(3a^2+4ab+4b^2+2)=0$. For this pair, what is $a+b$?

Let $a,b \in N$ and $p$ be a prime . If $ax^2+bx+c=p$ has two distinct integral values of $x$ .Show that $ax^2+bx+c = 2p$ has no integral value.

quadratic equations roots related

Prove the following inequality $6 \cdot 3^\frac18-5 > 3^{\frac14}$

Difficulty finding point A using two equations

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