Question

Rewrite the equation by completing the square x^2+2x-3=0

Answer 1

( x+1)^2 = 4

Explanation:

x^2+2x-3=0

Add 3 to each side

x^2 +2x = 3

Take the coefficient of x

2

Divide by 2

2/2 =1

Square it

1^2 =1

Add to each side

x^2 +2x = 3

x^2 + 2x+1 = 3+1

( x+1)^2 = 4

Take the square root of each side

x+1 = ±2

Subtract 1 from each side

x+1-1 = -1 ±2

x = -1+2 x = -1-2

x =1 x = -3