SOLUTION: X2+5X+6=0 by complating square

Algebra.Com
Question 764668: X2+5X+6=0 by complating square
Found 2 solutions by nerdybill, stanbon:
Answer by nerdybill(7384)   (Show Source): You can put this solution on YOUR website!
X^2+5X+6=0
X^2+5X = -6
X^2+5X+25/4 = -6+25/4 (complete square by adding 25/4 to both sides)
(X+5/2)^2 = -24/4 + 25/4
(X+5/2)^2 = (-24+25)/4
(X+5/2)^2 = 1/4
X+5/2 = 1/2
X = 1/2 - 5/2
X = -4/2
X = -2


Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
X^2+5X+6=0 by completing the square
-----
x^2 + 5x + (5/2)^2 = -6+(5/2)^2
-----
(x+(5/2))^2 = -24/4 + 25/4
----
x+(5/2)^2 = 1/4
---
x + (5/2) = 1/2 or x+(5/2) = -1/2
---
x = -2 or x = -3
====================
Cheers,
Stan H.
===============

RELATED QUESTIONS

Solve by factoring x2 + 5x - 6 =... (answered by Alan3354,rfer)
Complete the square. 1. x2 + 60x + 2. x2 – 7x + Solve each... (answered by solver91311)
x2 + 5x - 6 = 0 (answered by dolly)
X2+5x-6=0 (answered by lmeeks54)
X2-5x+6=0 (answered by rothauserc)
Solve by factoring: x2 – 5x =... (answered by fractalier)
Solve by completing the square. x2 = 5x + 2 (answered by 428225,ikleyn)
6) Complete the square x2 – 12x 7) Complete the square x2 – 2x = 8 8)... (answered by jim_thompson5910)
1. Which of the following is a quadratic equation that has roots of 2 1/2 and 2/3? A)... (answered by Alan3354)