Mathematics
Zelya
2016-09-23 10:36:39
The quadratic equation by completing the square x^2+6x=18
ANSWERS
Nickimargo
2016-09-23 11:55:39

This technique is valid only when the coefficient of x2 is 1.1)   Transpose the constant term to the rightx2 + 6x = −2. 2)  Add a square number to both sides -- add the square of half the coefficient of x.  In this case, add the square of half of 6; that is, add the square of 3, which is 9:x2 + 6x + 9 = −2 + 9.The left-hand side is now the perfect square of  (x + 3).(x + 3)2  =  7.3 is half of the coefficient 6.That equation has the forma2 = b  which impliesa = ±.         Therefore,x + 3 = ± x = −3 ±.That is, the solutions tox2 + 6x + 2  =  0

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