anonymous
  • anonymous
Fan and medal*** If (8z − 9)(8z + 9) = az^2 − b, what is the value of a? The value of a is____
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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jtvatsim
  • jtvatsim
Probably as a first step you should multiply the two parentheses on the left. That may help you get started on the problem. Are you comfortable with doing that?
anonymous
  • anonymous
yes, let me multiply
jtvatsim
  • jtvatsim
Alright, sounds good. :)

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anonymous
  • anonymous
64z^2- 81 I don't know if I did right
jtvatsim
  • jtvatsim
You did it perfectly! Nice job
jtvatsim
  • jtvatsim
Now look closely at the two equations they gave you 64z^2 - 81 = az^2 - b notice that they both "look" the same. They both have a z^2 term. They both have a subtraction. And they both have "something" in front of the z^2 term.
anonymous
  • anonymous
yes,i see so what I need to do now?
jtvatsim
  • jtvatsim
Well, we can simply look and visually see that "a" must be 64. There is no other way that these two equations can be equal. In fact, for a bonus, I can also see that "b" must be 81.
jtvatsim
  • jtvatsim
Mathematicians call this "having the same form." We were able to take the parentheses and transform them into an equation that had the same form as the equation on the right. Then, solving the problem is easy and we can trust our intuition.
jtvatsim
  • jtvatsim
It's a little bit of a stretch to see it. So let me know if you have any questions. :)
anonymous
  • anonymous
so wait, its the answer its 81
jtvatsim
  • jtvatsim
Not quite. They want to know what the value of "a" is. "a" must be 64. I threw in the part about b as a bonus just so you could see that as well.
jtvatsim
  • jtvatsim
Basically, the question just wants you to answer "What is the number in front of the z^2?" Instead of keeping it simple, though, they tried to get fancy by setting equations equal. It's the same thing though.
anonymous
  • anonymous
yea I see can you check my answer for a different question please I already have the answer I just want to check
jtvatsim
  • jtvatsim
go ahead! :)
anonymous
  • anonymous
Choose the correct simplification of 7x^2(6x + 3x^2 − 4). my answer: 21x^4 + 42x^3 - 28x^2
jtvatsim
  • jtvatsim
Yep looks good. They tried to trick you be playing the 3x^2 in the middle, but looks like you got it. And you kept all the signs straight. Nice!

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