How do you solve #4( x - 9) ^ { 2} = 180#?

1 Answer
Jim G.
May 14, 2018

#x=9+-3sqrt5#

Explanation:

#"isolate "(x-9)^2" by dividing both sides by 4"#

#rArr(x-9)^2=180/4=45#

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

#sqrt((x-9)^2)=+-sqrt45larrcolor(blue)"note plus or minus"#

#rArrx-9=+-3sqrt5#

#"add 9 to both sides"#

#rArrx=9+-3sqrt5larrcolor(red)"exact solutions"#

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