Find all values of b or c that will make the polynomial a perfect...

Question

Find all values of b or c that will make the polynomial a perfect square trinomial. 100r^2-60r+c

Accepted Answer

Solve for the appropriate values of A. That will transfer the polynomial. 1 21 T squared -80 Plus A. Into a perfect square. Now we want to figure out what it is. We're going to make use of a certain form of a square. We'll say we have x minus y squared. This is equivalent to the form X squared minus two. X Y plus y squared. Notice here our china meal is in this form so we can rewrite this as x minus y squared. We want to look at our X squared and r Y squared. Let's figure out what those correspond to. Let's say x squared is equal to our first term 1 21 T squared Y squared is equipment to our final turn. We'll just say that's a we want to solve for a but the first one to solve for X and Y. To get there for X squared to both sides. If x equals 11 t. For the way, why just equals the square root of it. Now we notice here are two X. Y. In the middle is equal to a D A. T. So I will say We have negative two xy Equals -88 T. Just to be safe. We'll keep our negative there. Now we have a -2. Our ex You know is 11 T. Are y. Is squared away. That's equal to -88 T. Here we get negative 22 T Scared of a equals negative 80 Divide both sides by neither 22 T. We end up with a squirt of a equals four. Finally, we square both sides, Making a equals 16. This means the answer to our problem turns out to be answered. Okay. I hope to help you solve the problem. Thank you for watching. Goodbye.

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Find all values of b or c that will make the polynomial a perfect square trinomial. 100r^2-60r+c

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