X^2 - 6 = -2x
Find the solution by completing the square
1 answer:
Answer:
x = -1±sqrt( 7)
Step-by-step explanation:
x^2 - 6 = -2x
Add 2x to each side
x^2 +2x- 6 = -2x+2x
x^2 +2x -6 = 0
Add 6 to each side
x^2 +2x- 6+6 = 6
x^2 +2x = 6
Take the coefficient of x
2
Divide by 2
2/2 =1
Square it
1^2 =1
Add this to each side
x^2+2x+1 = 6+1
(x+1)^2 = 7
Take the square root of each side
sqrt((x+1)^2) =±sqrt( 7)
x+1 = ±sqrt( 7)
Subtract 1 from each side
x+1-1 = -1 ±sqrt( 7)
x = -1±sqrt( 7)
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