How do you solve √(2x –3) = 2?

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Answer 1 · 2018-03-02T17:18:14

#7/2#

Square both sides:

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

#sqrt(2x-3)^2# becomes #2x-3.# In general, #sqrt(x)^2=x.# Squaring a root removes the root.

#2^2=4#

#2x-3=4#

Solve for #x:#

#2xcancel(-3+3)=4+3#

#2x=7#

#x=7/2#