I appreciate your passion but I feel like completing the square is much simpler if you start every problem out... Instead of grouping, you move the constant to the right side of the equation. Then divide both sides by 5. Then the value you add on the left side to make it a perfect square is exactly the same value you add on the right side. Everything seems cleaner. Is there a reason why you don't teach this method? I'm curious.
You can avoid the fractions by using a different method to complete the square. First, make the x^2 term a perfect square by multiplying the equation by 5. I say equation because I first transposed the 32 to the right expression. After multiplying through by 5, I have 25x^2 +60x = -160. To complete the square, and this might sound more difficult than it is, I would take the square of the following quotient; x term divided by 2 times the square root of the x^2 term. In this example, this is 60x / 2(sq root of 25). This comes to 6 and by squaring 6 I get 36 to complete the square. So now my equation is 25x^2 +60x + 36 = -124. The -124 is because I had to add the 36 to both expressions. Now I take the square root of both expressions, which gets me 5x + 6 = sq root of -124. I think this is equivalent to where you end up in your video, but with a lot of fractions. If I work my problem through and factor -124 to to be 4 times 31, I end up with x = - 6/5 plus/minus i times (2 times square root of 31)/5. I didn't work your numbers through to see if this is the answer you get, but I believe this is the correct answer. We have i since we have imaginary numbers because of the negative 124 that we are taking the square root of.
Completing the Square with Factoring Coefficients and Fractions - th-cam.com/video/-ej-fOBtdEw/w-d-xo.html
Wow! I was stressing about completing the square for my exam today and you posted in just the right time to save me. Thank you, Mr. Brian.
How did the exam go ?
Well-explained video! Thanks for the help 👍
7:00
Sir, you solved everything correctly, but in the end, it will be a +ve 124/5 and not a -ve one.
yes, you are correct brother.
Hey Brian, thanks for uploading so much, I graduated high school this year. You basically got me through pre calculus. Thanks! :)
bloody legend mate mch love from the UK
Thank you sooo much, i was looking for weeks a video that would help me to understand this and I found u.
i would have forgotten the 32. very nice
I appreciate your passion but I feel like completing the square is much simpler if you start every problem out... Instead of grouping, you move the constant to the right side of the equation. Then divide both sides by 5. Then the value you add on the left side to make it a perfect square is exactly the same value you add on the right side. Everything seems cleaner.
Is there a reason why you don't teach this method? I'm curious.
that should be a positive 124/5, right?
You can avoid the fractions by using a different method to complete the square. First, make the x^2 term a perfect square by multiplying the equation by 5. I say equation because I first transposed the 32 to the right expression. After multiplying through by 5, I have 25x^2 +60x = -160. To complete the square, and this might sound more difficult than it is, I would take the square of the following quotient; x term divided by 2 times the square root of the x^2 term. In this example, this is 60x / 2(sq root of 25). This comes to 6 and by squaring 6 I get 36 to complete the square. So now my equation is 25x^2 +60x + 36 = -124. The -124 is because I had to add the 36 to both expressions. Now I take the square root of both expressions, which gets me 5x + 6 = sq root of -124. I think this is equivalent to where you end up in your video, but with a lot of fractions. If I work my problem through and factor -124 to to be 4 times 31, I end up with x = - 6/5 plus/minus i times (2 times square root of 31)/5. I didn't work your numbers through to see if this is the answer you get, but I believe this is the correct answer. We have i since we have imaginary numbers because of the negative 124 that we are taking the square root of.
Kudos 🤸🤸🤸💯💫
Can you tell me who requested this video from you? I need the name. Who requested from you solving the specific example?
12/10 = 6/5!
How is that a factorial 5?
@@doglovers814, It's not a factorial. It's an exclamation that the fraction should be reduced.
@@friendofbeaver6636 ohk
Sir how is it possible you have way more views than me? And I always try hard to post as often as possible 😂