Answer:
C) x = ± 4
Step-by-step explanation:
12x² - 288 = 0
12x ² = 288
[tex] \small \sf \: x {}^{2} = \frac{288}{12} \\ [/tex]
[tex]\small \sf x {}^{2} = \frac{ \cancel{288 }}{ \cancel{12}} \\ [/tex]
x² = 24
[tex] \small \sf \: \sqrt{x {}^{2} } = ± \sqrt{ 24} [/tex]
[tex] \small \sf \: x_1, _2 = ± \sqrt{ 24} [/tex]
[tex] \small \sf \: x_1, _2 = ± 4.899 [/tex]