By completing the square which equation is equivalent to x^2-4x+14=13

Solving the expression by completing square method we shall have:

x^2-4x+14=13

this can be written:

x^2-4x=13-14

x^2-4x=-1

but

c = (b/2a) ^2

c = (-4/2*1) ^2=4

thus we shall have:

x^2-4x+4=-1+4

factoring the LHS we get:

(x-2) (x-2) = 3

(x-2) ^2=3

getting the square root of both sides:

x-2=+/-√3

hence

x=2+/-√3

Thus the equivalent equation will be: x^2-4x+4=3