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I'm having a real problem solving x^2-4x-5=0 using the sq method. Can anyone help me?

 Jan 29, 2017
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I think you probably mean the "completing the square" method.

 

Add the square of half the coefficient of the x term to both sides:

 

x^2 - 4x + (-4/2)^2 - 5 = (-4/2)^2

 

simplify;   x^2 - 4x + 4 - 5 = 4

 

Add 5 to both sides:  x^2 - 4x + 4 = 9

 

The left-hand side can now be expressed as a perfect square:

(x - 2)^2 = 9

 

Take square root of both sides:

 

x - 2 = 3      and     x - 2 = -3

 

So:   x = 5    and   x = -1

.

 Jan 29, 2017

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