Posted by ant on Friday, June 4, 2010 at 6:32pm.
(d) is not correct.
When we need to complete the square of an expression, we examine the coefficients of the x² and x terms.
To complete the square of a general quadratic equation
ax²+bx+c
we first rewrite it as:
a(x² + (b/a)x + c/a)
to make the coefficient of x² equal to 1.0 inside the parentheses.
After that, we regroup the terms as
a( (x+(b/2a))² + c/a - (b/2a)² )
Therefore the number to complete the square is b/2 if a=1.
Post if you need further explanations.
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