Question

Proving that $f(x)=x^2-6x-40$ is injective for $f: [3, \infty) \rightarrow [-49, \infty)$ without using calculus

score 547 · Answer 1 · 2026-04-16 14:44:36

547

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Proving that $f(x)=x^2-6x-40$ is injective for $f: [3, \infty) \rightarrow [-49, \infty)$ without using calculus

Published on 16 Apr 2026 - 14:44

score 9.8k · Answer 2 · 2026-04-13 08:37:06

9.8k

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Why does the discriminant in the Quadratic Formula reveal the number of real solutions?

Published on 13 Apr 2026 - 8:37

score 38 · Answer 3 · 2026-04-15 14:39:35

When a polynomial is ÷ by another polynomial and it gives a remainder but when we put the value of the x in the polynomials it gives 0 remainder.

score 3k · Answer 4 · 2026-04-08 02:01:10

3k

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Maximize Profit from a Quadratic Equation

Published on 08 Apr 2026 - 2:01

score 925 · Answer 5 · 2026-04-13 23:21:22

925

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Find the values of $c$ for which the vectors make an obtuse angle for any $x{\epsilon}(0,\infty)$

Published on 13 Apr 2026 - 23:21

score 28 · Answer 6 · 2026-04-10 06:30:06

28

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solutions to quadratic equation with sum = 2(k+l) and product = 3(k^2 - l^2) + kl

Published on 10 Apr 2026 - 6:30

score 1.5k · Answer 7 · 2026-04-13 13:56:38

1.5k

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Normal quadric surfaces in $\mathbb{P}^3$

Published on 13 Apr 2026 - 13:56

score 512 · Answer 8 · 2026-04-16 03:54:50

512

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Given $7$. degree polynomial $p(x)$, prove that all roots of $x^{10}-10x^9+39x^8=p(x)$ are in $(-\frac{5}{2},\frac{9}{2})$.

Published on 16 Apr 2026 - 3:54

score 104 · Answer 9 · 2026-04-10 12:47:37

104

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Probability that the given quadratic equation has real solutions

Published on 10 Apr 2026 - 12:47

score 33 · Answer 10 · 2026-04-13 11:23:09

33

Views

Determining the value of k in f(x)

Published on 13 Apr 2026 - 11:23

score 120 · Answer 11 · 2026-04-09 03:05:10

120

Views

quadratic equation with complex coeeficient

Published on 09 Apr 2026 - 3:05

score 908 · Answer 12 · 2026-04-16 10:40:27

908

Views

Square Roots Modulo N

Published on 16 Apr 2026 - 10:40

score 74 · Answer 13 · 2026-04-13 01:47:10

74

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how to factorize $2n^2-n-1$?

Published on 13 Apr 2026 - 1:47

score 524 · Answer 14 · 2026-04-13 21:43:19

524

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Quadratic equation that takes 2 zeroes and keeps the vertex at y = 10

Published on 13 Apr 2026 - 21:43

score 98 · Answer 15 · 2026-04-17 12:45:02

98

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How do we minimize $\left(x+a+b\right)\left(x+a-b\right)\left(x-a+b\right)\left(x-a-b\right)$?

Published on 17 Apr 2026 - 12:45

List Question

Proving that $f(x)=x^2-6x-40$ is injective for $f: [3, \infty) \rightarrow [-49, \infty)$ without using calculus

Why does the discriminant in the Quadratic Formula reveal the number of real solutions?

When a polynomial is ÷ by another polynomial and it gives a remainder but when we put the value of the x in the polynomials it gives 0 remainder.

Maximize Profit from a Quadratic Equation

Find the values of $c$ for which the vectors make an obtuse angle for any $x{\epsilon}(0,\infty)$

solutions to quadratic equation with sum = 2(k+l) and product = 3(k^2 - l^2) + kl

Normal quadric surfaces in $\mathbb{P}^3$

Given $7$. degree polynomial $p(x)$, prove that all roots of $x^{10}-10x^9+39x^8=p(x)$ are in $(-\frac{5}{2},\frac{9}{2})$.

Probability that the given quadratic equation has real solutions

Determining the value of k in f(x)

quadratic equation with complex coeeficient

Square Roots Modulo N

how to factorize $2n^2-n-1$?

Quadratic equation that takes 2 zeroes and keeps the vertex at y = 10

How do we minimize $\left(x+a+b\right)\left(x+a-b\right)\left(x-a+b\right)\left(x-a-b\right)$?

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