express x^2 - 5x + 1/4 in the form (x-a)^2 - b
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Originally Posted by johnsmith666 express x^2 - 5x + 1/4 in the form (x-a)^2 - b You have already posted this question, reposting is not a good way to get help. Have you tried the question? How far can you get? Have you done 'completing the square' in lessons yet? Try expanding (x-a)^2 - b and comparing coefficients with x^2 -5x +1/4 .
Hi John, the question is testing you to figure out what the values of 'a' and 'b' are. You must be able to multiply out $\displaystyle (x-a)^2$ to find them. By doing this, you will first see what 'a' is, then you can find 'b'.
do you understand this step as mentioned "completing the square" $\displaystyle \left(x^2 -\frac{5}{2}x + \frac{25}{4}\right) + \frac{1}{4} - \frac{25}{4} $
Originally Posted by johnsmith666 express x^2 - 5x + 1/4 in the form (x-a)^2 - b $\displaystyle (x-5/2)^2-6$
But if you don't learn how to find those values, John, you'll be just as stuck the next time.
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