Question

Solve for x. Write the smaller solution first, and the larger solution second.

Answer 1

Answer:

x=-4.73   x=-1.27

Step-by-step explanation:

(x + 3)^2 - 3 = 0

Add 3 to each side

(x + 3)^2 - 3 +3= 0+3

(x + 3)^2 = 3

Take the square root of each side

sqrt((x + 3)^2) =±sqrt( 3)

(x + 3) =±sqrt( 3)

Subtract 3 from each side

x + 3-3 =-3±sqrt( 3)

x = -3±sqrt( 3)

Approximating to 2 decimal places

x=-1.27 x=-4.73

Answer 2

Answer:

x = -4.73, -1.27

Step-by-step explanation:

(x + 3)² - 3 = 0

(x + 3)² = 3

(x + 3) = +/- sqrt(3)

x = -3 +/- sqrt(3)

x = -4.73, -1.27