anonymous
  • anonymous
Part 1: Solve each of the quadratic equations below. Show your work. (3 points) x2 - 36 = 0 and x2 = 8x - 12 Part 2: Describe what the solution(s) represent to the graph of each. (2 points) Part 3: How are the graphs alike? How are they different? (2 points)
Mathematics
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
6 x 6= 36 which is 6 squared. 8x6=48 -12=36 = 6 squared. Both have equal x values that add up to 36
anonymous
  • anonymous
But one graph manages to equal zero with 6 squared - 36. The other equals 36 which equals the X value used in the other equation. You get two different numbers at the end. 0 for the first, 36 for the second but they both use the same x value.
anonymous
  • anonymous
@Rubytuesday1 is partially right on the first equation. 6 is one solution, but there is another one. What other number can you multiply by itself to get 36?

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anonymous
  • anonymous
You could have negative 6 as well because a negative times a negative is a positive
anonymous
  • anonymous
right. :) so the first one would be x = ±6.
anonymous
  • anonymous
Forgot to mention the negative factor involved. My bad.
anonymous
  • anonymous
The second one also has two solutions. You need to make one side equal 0 and then either factor or use the quadratic equation to find it. And yes, you're right 6 is one of the solutions

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