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find the square root of both sides = +/-
2k - 5 = +/-4
two solutions
2k = +4 + 5
2k = 9
k = 4.5
and
2k = -4 + 5
2k = 1
k = .5
:
:
Check both solutions in the original equation
(2(4.5) - 5)^2 = 16
(9-5)^2 = 16
4^2 = 16
and
(2(.5)-5)^2 = 16
(1 - 5)^2 = 16
(-4)^2 = 16