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

(x+1) ^2 = 4

Step-by-step 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