How do you solve #16x^2 = 24#?

1 Answer
Mar 2, 2018

Answer:

The answers are #sqrt6/2# and #-sqrt6/2#.

Explanation:

#16x^2=24#

#(16x^2)/16=24/16#

#(color(red)cancel(color(black)16)x^2)/color(red)cancel(color(black)16)=24/16#

#x^2=24/16#

#x^2=3/2#

#sqrt(x^2)=sqrt(3/2)#

#x=+-sqrt(3/2)#

#color(white)x=+-sqrt3/sqrt2#

#color(white)x=+-sqrt3/sqrt2color(red)(*sqrt2/sqrt2)#

#color(white)x=+-(sqrt3*sqrt2)/(sqrt2*sqrt2)#

#color(white)x=+-(sqrt(3*2))/(sqrt(2*2))#

#color(white)x=+-sqrt6/sqrt4#

#color(white)x=+-sqrt6/2#

Those are the two answers.