If \( x=(7+4 \sqrt{3})^{2 n}=[x]+f \), where \( n \in N \) and \( 0 \leq f1 \), then \( x(1-f) \... VIDEO
If \( x=(7+4 \sqrt{3})^{2 n}=[x]+f \), where \( n \in N \) and \( 0 \leq f1 \), then \( x(1-f) \) is equal tohttps://bit.ly/YTAI_PWAP https://www.pw.live
Other Videos By PW Solutions 2022-10-27 Evaluate the following integrals
\[
\int \sqrt{\frac{\cos x-\cos ^{3} x}{\left(1-\cos ^{3} x\rig... 2022-10-27 If \( [x] \) is the greatest integer less than or equal to \( x \) and \( (x) \) be the least in... 2022-10-27 The determinant \( \left|\begin{array}{ccc}y^{2} & -x y & x^{2} \\ a & b & c \\ a^{\prime} & b^{... 2022-10-27 If the fourth term of \( \left(\sqrt{x^{\left(\frac{1}{1+\log x}\right)}+\sqrt[12]{x}}\right)^{6... 2022-10-27 Evaluate the following integrals \[ \int \sqrt{\frac{x^{4}}{a^{6}+x^{6}}} d x \] 2022-10-27 Evaluate the following integration \[ \int \frac{x^{4}}{1+x^{2}} d x \] 2022-10-27 Evaluate the following integration \[ \int \frac{(1+x)^{2}}{x\left(1+x^{2}\right)} d x \] 2022-10-27 If \( x+\frac{1}{x}=1 \) and \( p=x^{4000}+\frac{1}{x^{4000}} \) and \( q \) is the digit at uni... 2022-10-27 The number of real negative terms in the binomial expansion of \( (1+i x)^{4 n-2}, n \in N, n0, ... 2022-10-27 If the AM of two positive numbers \( a \) and \( b(ab) \) is twice of their GM, then \( a: b \) ... 2022-10-27 If \( x=(7+4 \sqrt{3})^{2 n}=[x]+f \), where \( n \in N \) and \( 0 \leq f1 \), then \( x(1-f) \... 2022-10-27 The graph of a quadratic polynomial \( y=a x^{2} \) \( +b x+c ; a, b, c \in R \) is as shown.
Wh... 2022-10-27 If \( a_{1}, a_{2}, a_{3}, \ldots, a_{n} \) are in AP, where \( a_{i}0 \) for all \( i \), the v... 2022-10-27 The set of values of \( a \) for which the inequation \( x^{2}+a x+a^{2}+6 a0 \) is satisfied fo... 2022-10-27 If \( m \) and \( n \) are the smallest positive integers satisfying the relation \( \left(2 \op... 2022-10-27 If \( a_{1}=2, a_{2}=3+a_{1} \) and \( a_{n}=2 a_{n-1}+5 \) for \( n1 \), the value of \( \sum_{... 2022-10-27 The largest negative integer which satisfies \( \frac{\left(x^{2}-1\right)}{(x-2)(x-3)}0 \), is
... 2022-10-27 Number of imaginary complex numbers satisfying the equation, \( z^{2}=\bar{z} \cdot 2^{1-|z|} \)... 2022-10-27 If \( P\left(z_{1}\right), Q\left(z_{2}\right), R\left(z_{3}\right) \) and \( S\left(z_{4}\right... 2022-10-27 Dividing \( f(z) \) by \( z-i \), we obtain the remainder \( 1-i \) and dividing it by \( z+i \)... 2022-10-27 If \( z=(3+7 i)(\lambda+i \mu) \), when \( \lambda, \mu \in I \sim\{0\} \) and \( i=\sqrt{-1} \)...
0