Question

solve the equation by completing the square
xsquare -10x+9=0​

Answer 1

Answer:

x = 1 , 9

Solution:

Given equation : x² - 10x + 9

To find : x = ?

We have ;

=> x² - 10x + 9 = 0

=> x² - 10x + (10/2)² - (10/2)² + 9 = 0

=> x² - 10x + 5² - 5² + 9 = 0

=> x² - 2•x•5 + 5² = 5² - 9

=> (x - 5)² = 25 - 9

=> (x - 5)² = 16

=> x - 5 = √16

=> x - 5 = ± 4

=> x = 5 ± 4

=> x = 5 + 4 OR x = 5 - 4

=> x = 9 OR x = 1

Hence,

Required answer is : x = 1 , 9 .