How do you solve the rational equation #5 / (y - 2) = y + 2 #?
2 Answers
Mar 7, 2018
Explanation:
Identity:
Identity:
Mar 7, 2018
Explanation:
#"multiply both sides by "(y-2)#
#cancel((y-2))xx5/cancel((y-2))=(y-2)(y+2)#
#rArr(y-2)(y+2)=5larrcolor(blue)"expand factors"#
#rArry^2-4=5larrcolor(blue)"add 4 to both sides"#
#rArry^2=9#
#color(blue)"take square root of both sides"#
#rArry=+-3larrcolor(blue)"note plus or minus"#
#color(blue)"As a check"#
#y=3to5/(3-2)=3+2to5=5" True"#
#y=-3to5/(-3-2)=-3+2to-1=-1" True"#
#rArry=+-3" are the solutions"#