144k views
2 votes
Solve the quadratic equation 12x^2 - 288 = 0 using the square root method.

Solve the quadratic equation 12x^2 - 288 = 0 using the square root method.-example-1
User Acapola
by
7.9k points

1 Answer

2 votes

Answer:

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

User Priyadi
by
7.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories