Question

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

Answer 1

Answer:

C) x = ± 4

Step-by-step explanation:

12x² - 288 = 0

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

12x ² = 288

• Divide both side by 12

$\small \sf \: x {}^{2} = \frac{288}{12}$

• 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

$\small \sf \: \sqrt{x {}^{2} } = ± \sqrt{ 24}$

$\small \sf \: x_1, _2 = ± \sqrt{ 24}$

$\small \sf \: x_1, _2 = ± 4.899$