Tenfold Tenfold
  • 03-09-2022
  • Mathematics
contestada

Correct the errors and fill in the blanks by completing the square.

Correct the errors and fill in the blanks by completing the square class=

Respuesta :

jimrgrant1 jimrgrant1
  • 03-09-2022

Answer:

x = 2 - 5[tex]\sqrt{3}[/tex], x = 2 + 5[tex]\sqrt{3}[/tex]

Step-by-step explanation:

x² - 4x = 71

to complete the square

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

x² + 2(- 2)x + 4 = 71 + 4

(x - 2)² = 75 ( take the square root of both sides )

x - 2 = ± [tex]\sqrt{75}[/tex] = ± 5[tex]\sqrt{3}[/tex] ( add 2 to both sides )

x = 2 ± 5[tex]\sqrt{3}[/tex]

then

x = 2 - 5[tex]\sqrt{3}[/tex] , x = 2 + 5[tex]\sqrt{3}[/tex]

Answer Link

Otras preguntas

Calvin evaluated -2/3 *5 1/6 using the steps below.
Need help with the question in the attachment!
James wants to create a self-sustaining ecosystem, or vivarium. Which method would most likely result in an ecosystem that is viable for the longest amount of t
What is an int and a float?
Describe how the government of the United States changed in response to the 9/11 attacks?
Kim increased her typing speed from 56 to 63 words per minute. What was the percent of increase in her typing speed? A. 7% B. 11.1% C. 12.5% D. 17%
. Solve for a. (a) If your answer is 51 cm color the arm sleeves yellow. (b) If your answer is 149 cm color the arm sleeves apricot. (Explain please)
What role does the Supreme Court play in the federal judicial system? O A. It acts as the final authority on the constitutionality of state and federal laws. O
What can you infer from these plot events? Check the three best choices.
how many repeating digits are in 0.64​