Question

Solve the quadratic equation 12x^2 - 288 = 0 using the square root method.

Answer 1

C) x = ± 4

Explanation:

12x² - 288 = 0

• Add 288 on both sides. Anything plus zero gives itself.

12x ² = 288

• Divide both side by 12

`\small \sf \: x {}^(2) = (288)/(12) \\`

• Divide 288 by 12 to get 24

`\small \sf x {}^(2) = \frac{ \cancel{288 }}{ \cancel{12}} \\`

x² = 24

• Taking square root of each side and remember to use positive and negative roots

`\small \sf \: \sqrt{x {}^(2) } = ± √( 24)`

`\small \sf \: x_1, _2 = ± √( 24)`

`\small \sf \: x_1, _2 = ± 4.899`