How do you solve #\frac { x ^ { 2} } { 2} - 14= 18#?

1 Answer
Jul 20, 2017

#x=+-8#

Explanation:

#"add 14 to both sides of the equation"#

#x^2/2cancel(-14)cancel(+14)=18+14#

#rArrx^2/2=32#

#"multiply both sides by 2"#

#cancel(2)^1xx x^2/cancel(2)^1=2xx32#

#rArrx^2=64#

#color(blue)"take the square root of both sides"#

#sqrt(x^2)=+-sqrt64larr" note plus or minus"#

#rArrx=+-8#