Avalee14idn
Answered

IDNLearn.com offers a reliable platform for finding accurate and timely answers. Our platform provides prompt, accurate answers from experts ready to assist you with any question you may have.

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 :

VirαtKσhliidn

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

We appreciate your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Discover the answers you need at IDNLearn.com. Thanks for visiting, and come back soon for more valuable insights.