jaynejosephjj jaynejosephjj
  • 22-04-2018
  • Mathematics
contestada

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

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CastleRook
CastleRook CastleRook
  • 02-05-2018
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
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