Question
Show the following quadratic equation by factorization method:
$4x^2 - 12x + 25 = 0$
$4x^2 - 12x + 25 = 0$
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$\left|\begin{array}{ccc}1 & 2 x & 4 x \\ 1 & 4 & 16 \\ 1 & 1 & 1\end{array}\right|=0$
| P(A) | P(B) | $\text{P}({\text{A}}\cap{\text{B}})$ | $\text{P}({\text{A}}\cup{\text{B}})$ | |
| (i) | $\frac{1}{3}$ | $\frac{1}{5}$ | $\frac{1}{15}$ | ....... |
| (ii) | 0.35 | .... | 0.25 | 0.6 |
| (iii) | 0.5 | 0.35 | .... | 0.7 |
Given that $7 \mathrm{x} \leq \mathrm{f}(\mathrm{x}) \leq 3 \mathrm{x}^2-6$ for all $x$. Determine the value of $\lim _{x \rightarrow 3} f(x)$
$\left(2+\omega+\omega^2\right)^3-\left(1-3 \omega+\omega^2\right)^3=65$