Answer:
X = 3 or 4
Step-by-step explanation:
use the formula:
[tex] \frac{ - b + - \sqrt{b { }^{2} - 4ac} }{ 2a } = \frac{ - 14 + - \sqrt{14 {}^{2} - 4 \times 2 \times 24} }{2 \times 2} \\ x \: = 3 \: or \: 4[/tex]
or use middle term method:
[tex]2x {}^{2} - 14x + 24 \\ = 2x {}^{2} - 8x - 6x + 24 \\ = 2x(x - 4) - 6(x - 4) \\ = (2x - 6)(x - 4) \\ x = 3 \: or \: 4[/tex]
