How do you solve #(x – 5)^2 = 3#?

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Answer 1 · 2017-04-20T21:40:11

Use the square root on both sides; remember to use #+-# on the right.
Solve both equation for x.

Given: #(x – 5)^2 = 3#

Use the square root on both sides:

#x – 5 = +-sqrt3#

Add 5 to both sides:

#x = 5+-sqrt3#

This breaks into two equations:

#x = 5+sqrt3# and #x = 5-sqrt3#