Solve the equation by completing the square: x^2+ 12x-38=0 ( show work so i can follow along)

In ax^2+bx+c=d form

completeing the square

make sure a=1
move c to other side (by adding or subtracting so it becomes zero)
take 1/2 of b and square it so (b/2)^2
then add that o both sides
factor perfect square on left side
take square root of both sidess and remember to get positive and negative roots

1x^2+12x-38=0
a=1 good
move c to other side
add 38 to both sides
x^2+12x=38
take 1/2 of b and squaer it
12/2=6, 6^2=36
add that to both sides
x^2+12x+36=38+36
factor perfect square
(x+6)^2=74
take square root of both sides
x+6=+/-√74
subtract 6 from both sides
x=-6+/-√74

x=-6+√74 or -6-√74

Do the math. she originally had 50 dollars on her gift card and she had 12 dollars left on her gift card after she finished her shopping spree. if you subtract 50 minus 12 you get thirty eight dollars as your answer. so therefore, ciara spent 38 dollars total o

The answer is the numbers between =5 and 5