Asked by Amy
use completing the square to describe the graph of each function.
How do you complete the square with this equations. please show me step by step so that I can understand it.
x^2-4x+6
How do you complete the square with this equations. please show me step by step so that I can understand it.
x^2-4x+6
Answers
Answered by
Jai
x^2 - 4x + 6
first, yo only focus on the first two terms: x^2 and -4x. let's put a parenthesis to enclose them:
(x^2 - 4x) + 6
now, to complete the square, what we do is get the half of b (b is the numerical coefficient of x, and in this case, is -4) and we square it: (-4/2)^2 = 4. Then we add a term +4 inside the parenthesis, but to remain the value of the whole expression constant, we also put a -4 but outside the parenthesis:
(x^2 - 4x + 4) + 6 - 4
the term inside the parenthesis is a perfect square, and we can further simplify this into:
(x-2)^2 + 2
hope this helps~ :)
first, yo only focus on the first two terms: x^2 and -4x. let's put a parenthesis to enclose them:
(x^2 - 4x) + 6
now, to complete the square, what we do is get the half of b (b is the numerical coefficient of x, and in this case, is -4) and we square it: (-4/2)^2 = 4. Then we add a term +4 inside the parenthesis, but to remain the value of the whole expression constant, we also put a -4 but outside the parenthesis:
(x^2 - 4x + 4) + 6 - 4
the term inside the parenthesis is a perfect square, and we can further simplify this into:
(x-2)^2 + 2
hope this helps~ :)
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