How do you solve #(y - 8) ^ { 2} = 49#?
2 Answers
Jun 25, 2017
Explanation:
#color(blue)"take the square root of both sides"#
#sqrt((y-8)^2)=+-sqrt49larrcolor(red)" note plus or minus"#
#rArry-8=+-7#
#"add 8 to both sides"#
#ycancel(-8)cancel(+8)=8+-7#
#rArry=8+-7#
#y=8+7rArry=15larr" is a solution"#
#y=8-7rArry=1larr" is a solution"#
#color(blue)"As a check"#
#y=15to(15-8)^2=7^2=49larr" true"#
#y=1to(1-8)^2=(-7)^2=49larr" true"#
Jun 25, 2017
15 or 1
Explanation:
Each side is a perfect square, so we just need to square root each side, so
or