anonymous
  • anonymous
Determine whether each of the following trinomials is a perfect square. x2-14x +49
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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experimentX
  • experimentX
(x-7)^2
hoblos
  • hoblos
x2-14x +49 = x2 -2(7)(x) + 7^2 = (x-7)^2
anonymous
  • anonymous
that would be an x squared. I couldn't figure out how to make the 2 smaller.

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More answers

hoblos
  • hoblos
you can use x^2
anonymous
  • anonymous
how did you find (x-7)(x+7)?
anonymous
  • anonymous
Pardon me... I have forgotten how to do this. Bleh!
anonymous
  • anonymous
The patterns you are looking for is \[(x+a)^2=x^2+2ax+a^2\]or\[(x-a)^2=x^2-2ax+a^2\]
hoblos
  • hoblos
well (x-7)(x+7) is wrong because (x-7)(x+7)= x^2 - 7^2 which is different that the given!!
anonymous
  • anonymous
okay, so it's (x-7)(x-7) correct?
ajprincess
  • ajprincess
yes
anonymous
  • anonymous
can somebody please show me how to get this answer... I am still not sure how we found it.
ajprincess
  • ajprincess
|dw:1332651807281:dw|
anonymous
  • anonymous
how would this equation look then, by using your set up?
ajprincess
  • ajprincess
well instead of a put x and b put 7.
ajprincess
  • ajprincess
|dw:1332652251948:dw|
anonymous
  • anonymous
\[x ^{2}-14x+49\] How do I break that down so that I can find out whether it is a perfect square?
anonymous
  • anonymous
I have been given the answer, but no exactly sure how it's been found.
amistre64
  • amistre64
do you know the definition of a perfect square?
amistre64
  • amistre64
im not quite sure why they are called perfect squares since i have never really seen an imperfect square ..... but those might be rectangles
anonymous
  • anonymous
don't remember the equation for a perfect square
amistre64
  • amistre64
4 is a perfect square since 2^2 = 4 9 is a perfect square since 3^2 = 9 16 is a perfect square since 4*4 = 16
anonymous
  • anonymous
how do you get form the given equation to 7? I understand that it's divisible by 49 and the sum is -14 but I don't understand how you get that answer.
amistre64
  • amistre64
a perfect square trinomial is the expanded version of a binomial thats been squared (a+b)^2 = (a^2 + 2ab + b^2)
ajprincess
  • ajprincess
sqrt of 49 is nly 7.
anonymous
  • anonymous
why do you take the square root of 49?
amistre64
  • amistre64
(a+b)^2 is just (a+b) times (a+b) a+b a+b ----- ab + b^2 a^2 + ab ---------------- a^2 + 2ab + b^2
ajprincess
  • ajprincess
when u expand a perfect square which is in the form (a-b)^2 the first term and the last term of the expansion will be the squares of the terms inside the bracket.
anonymous
  • anonymous
okay, for instance... how would this equation be set up?
ajprincess
  • ajprincess
|dw:1332653393837:dw|
ajprincess
  • ajprincess
Nw does that make a little sense.
anonymous
  • anonymous
where does "n" come from?
ajprincess
  • ajprincess
sorry it's not n it's x
anonymous
  • anonymous
okay, so you take the square root of 49 and x squared? What about the -14x? Do we not take the square root of that?
ajprincess
  • ajprincess
no the middle term of a perfect square will b two times of multiplication of the sqrt of 1st term and the sqrt of last term. Nw see the sqrt of first term here is x and the sqrt of last term is 7. 2*7*x=14x
ajprincess
  • ajprincess
is that k nw?
anonymous
  • anonymous
I am so lost! Sorry. I haven't done algebra in forever!
ash2326
  • ash2326
@aecampbell! we have \[x^2-14x+49\] We need to check if it's a perfect square or not?
ash2326
  • ash2326
Ok tell me do you know what's a perfect square??

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