nath14wxm nath14wxm
  • 03-02-2021
  • Mathematics
contestada

Solve, by completing the square, x^2=22x-5, leave your answer in surd form

Respuesta :

belgrad belgrad
  • 08-02-2021

Answer:

a) The complete square form =  ( x-11)² = 116

b)   x = 11 + 2√29

Step-by-step explanation:

Step(i):-

Given equation   x² = 22x -5

              ⇒ x² - 22x + 5 =0

             ⇒  x² - 2× 11 x + (11)² -(11)² + 5=0

            ⇒ ( x- 11)² -121 +5 =0

           ⇒  ( x-11)² = 116

The complete square form =  ( x-11)² = 116

Step(ii):-

           ⇒  (x-11) = √116 = √29 ×√4

           ⇒  x-11 = 2√29

          ⇒   x = 11 + 2√29

Answer Link

Otras preguntas

who the famous artist in our time
what is 20/7 as a mixed number what is 9/4 as a mixed number what is 22/5 as a mixed number what is4/3 as a mixed number
Choose the word that describes a person who is smart but in a sneaky way. A. Sharp. B. Cunning. C. Intelligent. D. Skillful.
while ice skating,alice slipped and injured her knee.what is one way Alice might have prevented this injury
find the slope of the line described by x - 3y =-6.
Juan Ramirez sells suits in a major department store on weekends. he earns a commission of 5 percent on the first ten suits, and if he sells more than ten, he e
while ice skating,alice slipped and injured her knee.what is one way Alice might have prevented this injury
what is 140/216 in simplest forms
why did texans drive their cattle to towns in the midwest
why did many aristocrats support legalism