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x²-5x=x+2 Solve The Following equations by using " completing the square " method. Give your answer correct to four significant figures

Guest Mar 12, 2017
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x2 - 5x = x + 2

 

Subtract x from both sides.

x2 - 6x = 2

 

Take half of the x coefficient, square it, and add that to both sides.

x2 - 6x + 9 = 2 + 9

 

Now it is a perfect trinomial and you can factor it.

(x - 3)(x - 3) = 11

(x - 3)2 = 11

 

Take the square root of both sides.

x - 3 = ±√(11)

 

Add 3 to both sides.

x = ±√(11) + 3 

 

x = √(11) + 3       and       x = -√(11) + 3 

x ≈ 6.3166          and       x ≈ -0.3166

hectictar  Mar 12, 2017

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