Question

Let $f(x)=(x+1)(x+2)(x+3)(x+4)+5$ where $x\in[-6,6]$. If the range of the function is [a,b] where $a,b\in N$, then find the value of (a+b)

score 323 · Answer 1 · 2026-04-01 12:08:03

323

Views

Let $f(x)=(x+1)(x+2)(x+3)(x+4)+5$ where $x\in[-6,6]$. If the range of the function is [a,b] where $a,b\in N$, then find the value of (a+b)

Published on 01 Apr 2026 - 12:08

score 64 · Answer 2 · 2019-11-13 01:49:31

64

Views

Find whether roots of an equation are real or not.

Published on 13 Nov 2019 - 1:49

score 74 · Answer 3 · 2026-03-31 23:31:20

74

Views

Solve quadratic equation with condition that solution should be integer.

Published on 31 Mar 2026 - 23:31

score 53 · Answer 4 · 2019-11-14 11:32:30

53

Views

If the roots of $ax^2+2bx+c=0 (a\ne 0)$ are complex and $a+c<2b$ then

Published on 14 Nov 2019 - 11:32

score 34 · Answer 5 · 2019-11-14 12:26:37

34

Views

If $\frac{1}{2-i}$ is a root of $ax^2+bx+c=0$ and $\frac{1}{3-2\sqrt 2} $ is a root of $px^2+dx+q=0$

Published on 14 Nov 2019 - 12:26

score 321 · Answer 6 · 2026-03-30 12:01:53

321

Views

Find $x$ in $4^x+6^x=9^x$

Published on 30 Mar 2026 - 12:01

score 54 · Answer 7 · 2019-11-17 04:42:19

54

Views

The number of solutions of $\sqrt {3x^2+x+5}=x-3$ is

Published on 17 Nov 2019 - 4:42

score 590 · Answer 8 · 2019-11-17 04:55:14

590

Views

If $a,b,c$ are three distinct positive real numbers then the number of real roots of $ax^2+2b|x|-c=0$ are

Published on 17 Nov 2019 - 4:55

score 90 · Answer 9 · 2019-11-17 05:05:57

90

Views

How should I solve the equation $\sqrt{x-\frac 1x}+\sqrt{1-\frac 1x}=x$

Published on 17 Nov 2019 - 5:05

score 48 · Answer 10 · 2019-11-17 07:29:35

48

Views

The roots of the equation $(a^4+b^4)x^2+4abcd x + (c^4+d^4)$will be?

Published on 17 Nov 2019 - 7:29

score 461 · Answer 11 · 2019-11-17 12:06:01

If $\alpha$ and $\beta$ are roots of the equation $x^2-2x+2=0$ then the least value of n for which $\left(\frac{\alpha}{\beta}\right)^n=1$

score 332 · Answer 12 · 2019-11-17 18:11:15

332

Views

$x$ and $y$ are real numbers, $x^2-2x-4y=5$, what is the range of $x-2y$?

Published on 17 Nov 2019 - 18:11

score 407 · Answer 13 · 2026-03-26 11:01:19

407

Views

Why is the inflection point of cubic functions on x=0 when the quadratic term is removed from the equation?

Published on 26 Mar 2026 - 11:01

score 48 · Answer 14 · 2019-11-17 19:37:21

48

Views

Side lengths $a, b, c$ of right triangle satisfy $\frac{b}{c-a}+\frac{a}{c-b}=13/2$. What is $a:b:c$?

Published on 17 Nov 2019 - 19:37

score 36 · Answer 15 · 2019-11-17 20:09:48

36

Views

Compute of roots for complex quadratic polynomial

Published on 17 Nov 2019 - 20:09

List Question

Let $f(x)=(x+1)(x+2)(x+3)(x+4)+5$ where $x\in[-6,6]$. If the range of the function is [a,b] where $a,b\in N$, then find the value of (a+b)

Find whether roots of an equation are real or not.

Solve quadratic equation with condition that solution should be integer.

If the roots of $ax^2+2bx+c=0 (a\ne 0)$ are complex and $a+c<2b$ then

If $\frac{1}{2-i}$ is a root of $ax^2+bx+c=0$ and $\frac{1}{3-2\sqrt 2} $ is a root of $px^2+dx+q=0$

Find $x$ in $4^x+6^x=9^x$

The number of solutions of $\sqrt {3x^2+x+5}=x-3$ is

If $a,b,c$ are three distinct positive real numbers then the number of real roots of $ax^2+2b|x|-c=0$ are

How should I solve the equation $\sqrt{x-\frac 1x}+\sqrt{1-\frac 1x}=x$

The roots of the equation $(a^4+b^4)x^2+4abcd x + (c^4+d^4)$will be?

If $\alpha$ and $\beta$ are roots of the equation $x^2-2x+2=0$ then the least value of n for which $\left(\frac{\alpha}{\beta}\right)^n=1$

$x$ and $y$ are real numbers, $x^2-2x-4y=5$, what is the range of $x-2y$?

Why is the inflection point of cubic functions on x=0 when the quadratic term is removed from the equation?

Side lengths $a, b, c$ of right triangle satisfy $\frac{b}{c-a}+\frac{a}{c-b}=13/2$. What is $a:b:c$?

Compute of roots for complex quadratic polynomial

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