Answer:

Slash

Explanation:

EXTRACTING THE SQUARE ROOTS

Ito ay isang method ng pag-solve ng quadratic equation na kung saan, tayo ay gumagamit ng SQUARE ROOT PROPERTY. Na kung saan, kinukuha natin ang square root ng both sides, upang makuha ang value ni x.

Solution1. \purple{\boxed{t^2 + 144 = 0}}t2+144=0

Transpose positive 144 to the right side.

\purple{\boxed{t^2 = -144}}t2=−144

Hanapan both sides ng square root.

\purple{\boxed{\sqrt{t^2} = \sqrt{-144}}}t2=−144\purple{\boxed{\sqrt{t^2} = \sqrt{-1 • 144}}}t2=−1•144\purple{\boxed{t = ± 12i}}t=±12i

or

\purple{\boxed{t = 12i}}t=12i , \purple{\boxed{t = - 12i}}t=−12i

2. \red{\boxed{(x - 4)² - 169 = 0}}(x−4)²−169=0

Transpose -169 to the right side.

\red{\boxed{(x - 4)² = 169}}(x−4)²=169

Take both side's square root.

\red{\boxed{\sqrt{(x - 4)²}= \sqrt{169}}}(x−4)²=169\red{\boxed{x - 4 = ±13}}x−4=±13

Transpose -4 to the right side.

\red{\boxed{x = ±13 + 4}}x=±13+4

Magkakaron tayo dito ng dalawang solution.

First Solution:

\red{\boxed{x = 13 + 4}}x=13+4\green{\boxed{x = 17}}x=17

Second Solution:

\red{\boxed{x = (-13) + 4}}x=(−13)+4\green{\boxed{x = -9}}x=−9

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