Today I am going to teach you about completing the square.
What does it mean to complete the square you ask?
Well! Let me tell you!
Completing the Square is used when solving general quadratic equations.
2 2 2
In Algebra it looks like this: X + BX + (B/2) = (x + b/2)
To solve a quadratic equation by completing the square.
All it takes are
Be sure to follow along!
Divide all terms by a (the coefficient of x2).
Move the number term (c/a) to the right side of the equation.
Complete the square on the right side of the equation and glance this by adding the same value to the right side of the equation.
Take the square root of both side of the equation.
Subtract the number that remains on the left side of the equation to find x.
Example: x2 + 8x + 2
Step 1: can be skipped because the coefficient of x2 is 1
Step 2: x2 + 8x = -2
Step 3: x2 + 8x + 16 = - 3 + 16 -> x2 + 8x + 16 = 13
2
(x + 4) = 14
Step 4: (x + 4) = 3.74
-4
Step 5: x= .26
And thats the answer! That is how you solve for a quadratic equation by solving for the square.
Good post Jackson! A lot of people find it super hard to complete the square, but with these easy steps it should be easier!
ReplyDeleteI really like the graphics you used they keep people engaged and are fun.
ReplyDeleteThis was a neat way to explain the complete the square process, and I really got a good understanding of it from the way you explained it! The use of your pictures were great as well!
ReplyDeleteJackson, you did a great job at explaining how to complete the square. Well done!
ReplyDeletejackson,
ReplyDeletei am assuming that your example was meant to be x^2 + 8x + 2 = 0? because if not, then this example would not work the way that you are showing. if this is the case then nice job.
i like your visuals, too. =0]
professor little