I found completing the square fairly easy.
Completing the Square:
You can use completing the square to solve a quadratic equation when factoring doesn’t work. This method can only work when 1 is the coefficient of x².
For example:
x² + 6x - 2 = 0
* anytime you are solving a quadratic you’re finding x-intercepts
- Move the constant term to the right side:
x² + 6x = 2
- Take half of the coefficient on the x-term (divide it by two, and keeping the sign), and then square it. Add the squared value to both sides of the equation:
x² + 6x + 9 = -2 + 9
- Convert the left-hand side to squared form. Simplify the right-hand side:
(x + 3)² = 7
* the # half of the coefficient goes in the parentheses.
- Square-root both sides:
x + 3 = √7
- Solve for "x =". Remember to put the "±" on the right side and that it gives you two solutions.
x = -3 ± √7
- The two points for this solution are:
(-3 + √7) , (-3 -√7)
And something I’m having trouble with would have be remembering some of the steps. Like on the test, we had to graph a parabola; I couldn't because I forget have half the steps. And when I looked over my notes after the test, I wanted to kick myself. In the end, I guess I’ll have to work harder at memorizing steps.
Thank you so much for this, I ended up forgetting about the 2nd step and this really helped out alot.
ReplyDeleteWell if you're just having trouble remembering the steps maybe you need to change the way you study. Try making a song or maybe righting them down on note cards to help you remember them.
ReplyDeleteyour almost right on that completing the square explanation, except for at the end. your points only had one number. the points you will always get for completing the square will be x-intercepts. so you will always get (x,0)
ReplyDelete*lol terrio, a song*
the points were suppose to be (-3 + √7,0) & (-3 -√7,0)..oh i knew that..i really did..i just forgot..my bad :)
ReplyDelete..terrio only you would think about making a song..