Solve the following equations and inequalities x 2 Squarer

Solve the following equations and inequalities x - 2 = Squareroot x - 12

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Given

(x-2) = sqrt (x-12)

Squaring both sides

(x-2)^2 = x - 12

x^2 -4x + 4 = x - 12

x^2 -5x + 16 = 0

x = [-(-5) + sqrt ((-5)^2 - 4((1)(16) )]/2

x = (5 + sqrt(39))/2

x = 5.62 , -0.62 Solution