## Search found 38 matches

Thu Nov 10, 2011 10:21 pm
Forum: Algebra
Topic: Largest value of n
Replies: 0
Views: 927

### Largest value of n

Find largest positive value of $n$ in $n.\left(\frac{abc}{ab+bc+ca}\right)\leq (a+b)^2+(a+b+4c)^2$

where $a\;,b\;,c\in\mathbb{R}$
Thu Nov 10, 2011 10:18 pm
Forum: Algebra
Topic: nested roots
Replies: 0
Views: 913

### nested roots

find value of $\left(2+\sqrt{1+\sqrt{2+\sqrt{1+\sqrt{2+...}}}}\right)-\left(1+\sqrt{2+\sqrt{1+\sqrt{2+\sqrt{1+...}}}}\right)=$
Thu Jun 02, 2011 9:46 pm
Forum: Algebra
Topic: Range of f(x) (2)
Replies: 0
Views: 934

### Range of f(x) (2)

If $a^2+c^2>ab$ and $b^2>4c^2$ for all $x\in \mathbb{R}$

then Range of $\displaystyle f(x) = \frac{x+a}{x^2+bx+c^2}$
Thu Jun 02, 2011 9:43 pm
Forum: Algebra
Topic: minimum value
Replies: 4
Views: 1944

### Re: minimum value

Here Domain is $x\in\mathbb{R}-\left\{-1\right\}$
Sat May 28, 2011 3:04 pm
Forum: Algebra
Topic: minimum value
Replies: 4
Views: 1944

### minimum value

Calculate minimum value of $\displaystyle f(x)=\frac{x^4+x^2+1}{(x+1)^2}$

Without using calculus
Sat May 28, 2011 2:56 pm
Forum: Number Theory
Topic: Find the real value of (x,y)
Replies: 4
Views: 1818

### Re: Find the real value of (x,y)

Here $\mathbf{(4x^2+6x+4).(4y^2-12y+25)=28}$

$\mathbf{\left\{(x+\frac{3}{4})^2+\frac{7}{16}\right\}.\left\{(y-\frac{3}{2})^2+\frac{16}{4}\right\}=\frac{7}{4}}$

Which is possiable only when $\mathbf{x=-\frac{3}{4}}$ and $\mathbf{y=\frac{3}{2}}$
Wed Apr 13, 2011 7:37 pm
Forum: Higher Secondary Level
Topic: limit with fractional part
Replies: 4
Views: 2269

### Re: limit with fractional part

No It is $= 1$
Fri Apr 08, 2011 5:11 pm
Forum: Higher Secondary Level
Topic: limit with fractional part
Replies: 4
Views: 2269

### limit with fractional part

Calculate $\lim_{n \to \infty} \left\{\left(\sqrt{3}+1\right)^{2n} \right\} =$

Where $\left\{.\right\} =$fractional part function
Wed Mar 23, 2011 6:33 pm
Forum: Algebra
Topic: no. of zeros
Replies: 3
Views: 1516

### Re: no. of zeros

Thanks babai
Wed Mar 23, 2011 6:33 pm
Forum: Algebra
Topic: Polynomial equation
Replies: 5
Views: 2631

### Re: Polynomial equation

Now How can I Calculate other Roots.