Question

Show that the quadratic function $g(x)= 2x^2 - 4kx + k^2$ intersects the $x$-axis for all values of $k$.

score 63 · Answer 1 · 2026-04-16 01:54:42

63

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Show that the quadratic function $g(x)= 2x^2 - 4kx + k^2$ intersects the $x$-axis for all values of $k$.

Published on 16 Apr 2026 - 1:54

score 71 · Answer 2 · 2026-04-15 19:19:46

71

Views

Why is the discriminant of a quadratic what it is? I of course want to apply this to an nth degree polynomial.

Published on 15 Apr 2026 - 19:19

score 44 · Answer 3 · 2026-04-08 19:47:05

44

Views

Using $z = x + yi$ does not reveal all solutions

Published on 08 Apr 2026 - 19:47

score 38 · Answer 4 · 2026-04-15 07:52:58

38

Views

Creating a quadratic given roots using the principle of zero products

Published on 15 Apr 2026 - 7:52

score 78 · Answer 5 · 2026-04-17 14:18:58

78

Views

$a + b + c = 0$ Prove that $\frac{a^2 + b^2 + c^2}{2} * \frac{a^3 + b^3 + c^3}{3} = \frac{a^5 + b^5 + c^5}{5}$

Published on 17 Apr 2026 - 14:18

score 39 · Answer 6 · 2026-04-13 23:57:46

39

Views

Solving a simple quadratic in modular arithmetic

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score 332 · Answer 7 · 2026-04-11 06:15:33

332

Views

quadratic over Z7 no solutions?

Published on 11 Apr 2026 - 6:15

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354

Views

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411

Views

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score 11.1k · Answer 10 · 2026-04-12 03:23:25

11.1k

Views

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score 56 · Answer 11 · 2026-04-16 14:38:48

56

Views

Prove that $x_1^4+x_2^4\geq 2$

Published on 16 Apr 2026 - 14:38

score 75 · Answer 12 · 2026-04-12 07:49:55

75

Views

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score 92 · Answer 13 · 2026-04-12 17:34:37

92

Views

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score 68 · Answer 14 · 2026-04-09 04:10:46

68

Views

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Published on 09 Apr 2026 - 4:10

score 31 · Answer 15 · 2026-04-15 15:25:00

31

Views

Quadratic curve fitting has a "bump" midway down the curve

Published on 15 Apr 2026 - 15:25

List Question

Show that the quadratic function $g(x)= 2x^2 - 4kx + k^2$ intersects the $x$-axis for all values of $k$.

Why is the discriminant of a quadratic what it is? I of course want to apply this to an nth degree polynomial.

Using $z = x + yi$ does not reveal all solutions

Creating a quadratic given roots using the principle of zero products

$a + b + c = 0$ Prove that $\frac{a^2 + b^2 + c^2}{2} * \frac{a^3 + b^3 + c^3}{3} = \frac{a^5 + b^5 + c^5}{5}$

Solving a simple quadratic in modular arithmetic

quadratic over Z7 no solutions?

How to solve quadratic inequalities with two boundaries

Finding the vertex of a quadratic function

Why does an exponential function eventually get bigger than a quadratic

Prove that $x_1^4+x_2^4\geq 2$

Doubt in Factoring quadratic equations

$\alpha$ and $\beta$ are the roots of the quadratic equation.

How to solve parametric quadratic function?

Quadratic curve fitting has a "bump" midway down the curve

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