Question

Solve 2x2+x-6 = 0 O (-3/2, 2) OD O (-2, 3/2)

Answer 1

✨ Using factorisation method ✨

‌

$\begin{cases}\tt \Large \orange\rightarrow \: \: 2 {x}^{2} \: + \: x \: - \: 6 \: = \: 0 \\ \\\tt \Large \orange\rightarrow \: \:2 {x}^{2} \: + \: 4x \: - \: 3x \: - \: 6 \: = \: 0 \\ \\ \tt \Large \orange\rightarrow \: \:2x(x + 2) \: - 3(x + 2) \: = \: 0 \\ \\ \tt \Large \orange\rightarrow \: \:(2x - 3) \quad \: (x + 2) \: = \: 0 \\ \\ \tt \Large \orange\rightarrow \: \:(2x - 3) = 0 \quad \: (x + 2) = 0 \\ \\ \tt \Large \orange\rightarrow \: \:2x \: = \: 3 \quad;\quad \: x \: = \: - 2 \\ \\ \rm \Large \orange\rightarrow \: \:x \: = \: \frac{3}{2} \quad ;\quad \: x \: = \: - 2 \\ \end{cases}$

Hence , option d is the correct answer