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Serga [27]
3 years ago
15

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

Mathematics
1 answer:
irina [24]3 years ago
6 0

<em>✨</em> <em>Using factorisation method</em> <em>✨</em>

‌

\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

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