Question

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)

Answer 1

6 x 6= 36 which is 6 squared. 8x6=48 -12=36 = 6 squared. Both have equal x values that add up to 36

Answer 2

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.

Answer 3

@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?

Answer 4

You could have negative 6 as well because a negative times a negative is a positive

Answer 5

right. :) so the first one would be x = ±6.

Answer 6

Forgot to mention the negative factor involved. My bad.

Answer 7

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