Hello. This is a discussion question. Please answer as specific as you can and explain the steps involve. Please send it to me in a way that can be copied and pasted into the discussion board. Question is in bold and italic, after that I send you a teachers example.
This week we will learn to solve quadratic equations by using the square root property and the quadratic formula. Explain clearly explaining one of these methods. Your post should also include a step by step solution to a problem you have solved to illustrate the method you are describing
Teacher example:
This week we are covering sections 17.1 and 17.3 over solving quadratic equations. Recall that we started this discussion in chapter 13. We were solving quadratic equations by factoring in that chapter, but every polynomial is not capable of being factored.
For instance, if we had the equation: x^2 = 25
What are the answers?
We must give both answers of 5 and -5, so in other words
x^2 = 25
x = sq rt[25] or x = – sq rt[25]
x = 5 x = -5
x = {-5, 5}
Square root method: x^2 = c
x = sq rt[c] or x = – sq rt[c]
Example: (x – 1)^2 = 4
x – 1 = sq rt[4] or x – 1 = – sq rt[4]
x – 1 = 2 x – 1 = – 2
x – 1 + 1 = 2 + 1 x – 1 + 1 = -2 + 1
x = 3 x = -1
x = {-1, 3}
Example: (x + 4)^2 = 16
x + 4 = sq rt[16] or x + 4 = – sq rt[16]
x + 4 = 4 x + 4 = -4
x + 4 – 4 = 4 – 4 x + 4 – 4 = -4 – 4
x = 0 x = -8
x = {-8, 0}
0 comments