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

Solve The Quadratic Equation 12x2 288 0 Using The Square Root Method class=

Sagot :

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

[tex] \small \sf \: x {}^{2} = \frac{288}{12} \\ [/tex]

  • Divide 288 by 12 to get 24

[tex]\small \sf x {}^{2} = \frac{ \cancel{288 }}{ \cancel{12}} \\ [/tex]

x² = 24

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

[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]

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