Question

What is the sum of the squares of the roots of the equation $x^2 − 7[x] + 5 = 0?$ (Here $[x]$ denotes the greatest integer less than or equal to $x$)

score 1.9k · Answer 1 · 2016-09-03 15:50:11

What is the sum of the squares of the roots of the equation $x^2 − 7[x] + 5 = 0?$ (Here $[x]$ denotes the greatest integer less than or equal to $x$)

score 5.8k · Answer 2 · 2026-04-03 12:32:54

5.8k

Views

Factoring Non-Monic Quadratic Trinomials

Published on 03 Apr 2026 - 12:32

score 93 · Answer 3 · 2016-09-04 09:09:40

93

Views

Distance between two x values of a parabola?

Published on 04 Sep 2016 - 9:09

score 39 · Answer 4 · 2016-09-05 12:29:30

39

Views

Finding value of $a$.

Published on 05 Sep 2016 - 12:29

score 44 · Answer 5 · 2026-04-03 06:54:12

44

Views

Find $a$ and $b$ for the following equation: $x^2 - 10x + a = (x + b)^2$

Published on 03 Apr 2026 - 6:54

score 23 · Answer 6 · 2016-09-06 03:05:40

23

Views

Finding real values for coefficients

Published on 06 Sep 2016 - 3:05

score 10.6k · Answer 7 · 2016-09-06 14:52:42

10.6k

Views

Why do parabolas' arms eventually become parallel?

Published on 06 Sep 2016 - 14:52

score 65 · Answer 8 · 2016-09-07 19:24:38

65

Views

When do I have to take the solution of a square root of a number with negative sign?

Published on 07 Sep 2016 - 19:24

score 542 · Answer 9 · 2026-03-30 06:10:15

542

Views

Analytical solution to a simple system of quadratic equations

Published on 30 Mar 2026 - 6:10

score 4.5k · Answer 10 · 2016-09-09 22:55:18

4.5k

Views

Find maximum profit from two linear functions.

Published on 09 Sep 2016 - 22:55

score 98 · Answer 11 · 2026-04-03 06:16:21

98

Views

Why do the number of solution to an equation reduces when we take square root on both the sides and increases when we exponentialize both the sides?

Published on 03 Apr 2026 - 6:16

score 1k · Answer 12 · 2026-04-03 06:50:46

1k

Views

Show that this polynomial in two variables has no integer solutions

Published on 03 Apr 2026 - 6:50

score 1.9k · Answer 13 · 2026-03-25 10:57:27

1.9k

Views

Minimum value of $a^2 + b^2$ so that the quadratic $x^2 + ax + (b+2) = 0$ has real roots

Published on 25 Mar 2026 - 10:57

score 679 · Answer 14 · 2016-09-12 01:58:47

679

Views

Prove: For odd integers $a$ and $b$, the equation $x^2 + 2 a x + 2 b = 0$ has no integer or rational roots.

Published on 12 Sep 2016 - 1:58

score 221 · Answer 15 · 2026-03-31 15:45:48

221

Views

Functional equation with two variables: $ f(x) - f(y) = (x+y)(x-y) $

Published on 31 Mar 2026 - 15:45

List Question

What is the sum of the squares of the roots of the equation $x^2 − 7[x] + 5 = 0?$ (Here $[x]$ denotes the greatest integer less than or equal to $x$)

Factoring Non-Monic Quadratic Trinomials

Distance between two x values of a parabola?

Finding value of $a$.

Find $a$ and $b$ for the following equation: $x^2 - 10x + a = (x + b)^2$

Finding real values for coefficients

Why do parabolas' arms eventually become parallel?

When do I have to take the solution of a square root of a number with negative sign?

Analytical solution to a simple system of quadratic equations

Find maximum profit from two linear functions.

Why do the number of solution to an equation reduces when we take square root on both the sides and increases when we exponentialize both the sides?

Show that this polynomial in two variables has no integer solutions

Minimum value of $a^2 + b^2$ so that the quadratic $x^2 + ax + (b+2) = 0$ has real roots

Prove: For odd integers $a$ and $b$, the equation $x^2 + 2 a x + 2 b = 0$ has no integer or rational roots.

Functional equation with two variables: $ f(x) - f(y) = (x+y)(x-y) $

Trending Questions

Popular # Hahtags

Popular Questions