Answered

At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Ask your questions and receive detailed answers from professionals with extensive experience in various fields. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

0=x^2-8x-32 solve by completing the square

Sagot :

14amavanessa

Answer:

x = 4.65 or x = -0.65 (to 2 d.p)

Step-by-step explanation:

To complete the square, use the formula x² + bx + c = (x + b/2)² - (b/2)² + c

  • In this case, x² - 8x - 32 = (x - 4)² - 16 - 32
  • This simplifies to (x - 4)² - 48 = 0

To solve this:

  • First, add 48 to both sides → (x - 4)² = 48
  • Next, square root both sides → x - 4 = ± √48 (remember that the square root of a number always has a positive and negative value)
  • Finally, add 4 to both sides → x = 4 ± √7

x has 2 solutions

x = 2 + √7 or x = 2 - √7

x = 4.65 or x = -0.65 (to 2 d.p)

Hope this helps!

Answer:

x = 4 ± 4[tex]\sqrt{3}[/tex]

Step-by-step explanation:

x² - 8x - 32 = 0 ( add 32 to both sides )

x² - 8x = 32

to complete the square

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

x² + 2(- 4)x + 16 = 32 + 16

(x - 4)² = 48 ( take square root of both sides )

x - 4 = ± [tex]\sqrt{48}[/tex] = ± 4[tex]\sqrt{3}[/tex] ( add 4 to both sides )

x = 4 ± 4[tex]\sqrt{3}[/tex]

Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.