SOLUTION: Solve the equation by extracting the square roots. When a solution is irrational, list both the exact solution and its approximation rounded to two decimal places. (x-2)^2=13

Question 1092254: Solve the equation by extracting the square roots. When a solution is irrational, list both the exact solution and its approximation rounded to two decimal places.
(x-2)^2=13
x=____ ~aprox ____
x=____ ~aprox ____
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
(x-2)^2=13
find the square root of both sides
x - 2 = +/-
add 2 to both sides
x = 2 + approx 5.61
and
x = 2 - approx -1.61
:
:
Check in original problem
(5.61-2)^2 = 13.03 because of rounding off
and
(-1.62-2)^2 = 13.03
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