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**QUESTION 1**
1. **Solve for** *x*:
1.1.1 \(x^2 + x - 12 = 0\) *(3)*
1.1.2 \(3x^2 - 2x = 6\) *(answers correct to TWO decimal places)* *(4)*
1.1.3 \(\sqrt{2x + 1} = x - 1\) *(4)*
1.1.4 \(x^2 - 3 > 2x\) *(4)*
2. **Solve for** *x* **and** *y* **simultaneously**:
\(x + 2 = 2y\)
\(\frac{1}{x} + \frac{1}{y} = 1\)
*(5)*
3. **Given**:
\(2^{m+1} + 2^m = 3^{n^2} - 3^n\), where *m* and *n* are integers.
**Determine the value of** \(m + n\). *(4)*
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