Question

Find root of x^2+6x+8 by completing the square method.

Answer 1

Heya!
--------

============================================================
♦Roots by Completing Square ♦
===========================================================


=> x² + 6x + 8 = 0

=> x² + 6x = -8

=> x² + 6x + ( ½ × 6 )² = -8 + ( ½ × 6 )²

=> x² + 6x + (3)² = -8 + (3)²

=> ( x + 3 )² = -8 + 9

=> ( x + 3 )² = 1

=> ( x + 3 )² = (1)²


=> x + 3 = +- 1

=> x + 3 = 1

=> x = -2
=========

.
=> x + 3 = -1

=> x = -4
=========



➰Hence the Roots are -2 and -4
=============================


=========================================================

Answer 2

Answer:

-2 and -4

Step-by-step explanation:

x²+6x+8 = 0

x²+6x= -8

x²+6x+3²= -8+3²

(x+3)² = -8+9

(x+3)² = 1

(x+3) =√1

x+3 =±1

WHEN x = 1

x= 1-3

x= -2

WHEN x = -1

x = -1-3

x=-4