What are the solutions of the quadratic equation (x + 3)2 = 49?

x = –2 and x = –16
x = 2 and x =
x = 4 and x = –10
x = 40 and x = –58

Question

What are the solutions of the quadratic equation (x + 3)2 = 49?

x = –2 and x = –16
x = 2 and x = 
x = 4 and x = –10
x = 40 and x = –58

Alex1513 · Answer

(x +3) (x+3) = 49

Distribute them

x^2 + 3x +3x +9 = 49

bring the 49 to the other side to make one side 0, make sure to change signs

x^2 + 3x +3x +9 - 49 = 0

combine like terms

x^2 + 6x -40 = 0

factor what numbers multiply to get -40 that also add/subtract to get +6

(x - 4) (x + 10)

turn it into an equation to get the answer to x

x - 4 = 0              x + 10 = 0

(x = 4)                   ( x = -10)

DogGirl27 · Answer

thanks again :)