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

By using the equation editor or uploading a picture, rewrite the equation in the form:
(x-h)^2=k

Given The Equation X21215 By Using The Equation Editor Or Uploading A Picture Rewrite The Equation In The Form Xh2k class=

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Given :-

  • A equation x² - 12x = -15

To Find :-

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

Solution :-

The given equation to us is ,

[tex]\sf\longrightarrow[/tex] x² - 12x = -15

Now for completing the square ,

[tex]\sf\longrightarrow[/tex] x² -2(6)(x) = -15

[tex]\sf\longrightarrow[/tex] x² - 2(6)(x) + 6² = 6² - 15

[tex]\sf\longrightarrow[/tex] (x -6)² = 6² - 15

[tex]\sf\longrightarrow[/tex] (x -6)² = 36 -15

[tex]\sf\longrightarrow[/tex] (x - 6)² = 21

Hence the required answer is (x-6)² = 21.

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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