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GenaCL600 [577]
3 years ago
8

Given the equation: x^2-12=-15

Mathematics
2 answers:
Bas_tet [7]3 years ago
8 0

<u>Given</u><u> </u><u>:</u><u>-</u>

  • A equation x² - 12x = -15

<u>To </u><u>Find</u><u> </u><u>:</u><u>-</u>

  • To write the equation in the form of (x-h)² = k .

<u>Solution</u><u> </u><u>:</u><u>-</u>

The given equation to us is ,

\sf\longrightarrow x² - 12x = -15

Now for completing the square ,

\sf\longrightarrow x² -2(6)(x) = -15

\sf\longrightarrow x² - 2(6)(x) + 6² = 6² - 15

\sf\longrightarrow (x -6)² = 6² - 15

\sf\longrightarrow (x -6)² = 36 -15

\sf\longrightarrow (x - 6)² = 21

<u>Hence</u><u> the</u><u> required</u><u> answer</u><u> </u><u>is </u><u>(</u><u>x-6)</u><u>²</u><u> </u><u>=</u><u> </u><u>2</u><u>1</u><u>.</u>

k0ka [10]3 years ago
3 0

Answer:

(x - 6)² = 21

Step-by-step explanation:

x² - 12x = - 15

Using the method of completing the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 6)x + 36 = - 15 + 36

(x - 6)² = 21

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