Question

x2+6x=14 by completing square method

Answer 1

Answer:

x = -3 + sqrt(23) or -3 - sqrt(23)

Step-by-step explanation:

Given x^2 + 6x = 14

x^2 + 2 × x × 3 = 14

x^2 + 2 × x × 3 + 3^2 = 14 + 3^2

(x+3)^2 = 23

So x+3 = sqrt(23) or - sqrt(23).

Hence the answer.

Answer 2

x^2 + 6x = 14

=> x^2 + 6x + (6 × 1/2)^2 = 14 + (6 × 1/2)^2

=> x^2 + 6x + 3^2 = 14 + 3^2

=> (x + 3)^2 = 14 + 9

=> (x + 3)^2 = 23

=> x + 3 = ± √23

=> x = ± √23 - 3
➖➖➖➖➖➖➖➖➖
x = √23 - 3

and

x = -√23 - 3