How do you solve #1/4b^2=16#?
2 Answers
Apr 17, 2017
Explanation:
Expand both sides by 4:
Now you have
Take square root (both sides)
Apr 17, 2017
Explanation:
#color(blue)"Isolate " b^2" by multiplying both sides by 4"#
#cancel(4)^1xx1/cancel(4)^1b^2=4xx16#
#rArrb^2=64#
#color(blue)"take the square root of both sides"#
#sqrt(b^2)=color(red)(+-)sqrt64#
#rArrb=color(red)(+-)8#
#color(blue)"As a check"# Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.
#x=color(red)(+8)to1/4xx8^2=1/4xx64=16#
#x=color(red)(-8)to1/4xx(-8)^2=1/4xx64=16#
#rArrx=+-8" are the solutions"#