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

Mathematics

1 answer:

krok68 [10]3 years ago

4 0

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

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

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

$\small \sf \: x_1, _2 = ± 4.899$

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