avalee14
Answered

Discover a wealth of knowledge at Westonci.ca, where experts provide answers to your most pressing questions. Get the answers you need quickly and accurately from a dedicated community of experts on our Q&A platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

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=

Sagot :

VirαtKσhli

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

Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.