How do you solve #abs(22x+6)=9.2#?

Question

1191 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-03-19T03:42:02

#x = {-0.6909, 0.1455}#

Since the absolute value of #22x + 6# is 9.2, we know that either:

#22x + 6 = 9.2# or #22x + 6 = -9.2#

Therefore, solving these equations will give the two solutions to the original absolute value equation.

Equation 1:

#22x + 6 = 9.2#
#22x = 3.2#
#x = 0.1455#

Equation 2:

#22x + 6 = -9.2#
#22x = -15.2#
#x = -0.6909#

Therefore, x can either be 0.1455 or -0.6909.