Question

qudratic equations by completing the square method xsquare+2x-5=0

Answer 1

x² + 2x - 5 = 0

{ (x)² + 2(x)(1) + (1)² }   - (1)² - 5 = 0

(use formula a² + 2ab + b² = (a + b )² )
 
(x + 1)² -1-5 = 0

(x + 1)² - 6 = 0

(x + 1)² - (√6)²  = 0

(use formula a² - b² = (a + b) (a - b) )

( x + 1 + √6 ) ( x + 1 - √6 ) = 0

(x + 1 + √6 ) = 0      ( x + 1- √6) = 0

x = -1-√6                 x = -1+√6