Question

solve x²+5x+6=0 by completing the square method​

Answer 1

Answer:

x = -2 and -3

Step-by-step explanation:

x² + 5x + 6

x² + 2 × (5x/2) + (5/2)² + 6 = (5/2)²

(x + 5/2)² = (5/2)² - 6

(x + 5/2)² = 25/4 - 6

(x + 5/2)² = 25 - 24/4

(x + 5/2)² = 1/4

Square root both sides:

(x + 5/2) = +1/2 and -1/2

x = 1/2 - 5/2 or -1/2 - 5/2

x = -4/2 or -6/2

x = -2 or -3

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Answer 2

Answer:

Given the quadratic equation is,

x

2

−5x+6=0

or, x

2

−3x−2x+6=0

or, (x−3)(x−2)=0

or, x=3,2.