zarkam21
  • zarkam21
Help, will medal =)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
zarkam21
  • zarkam21
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anonymous
  • anonymous
To solve this, recall the definition of a perfect square trinomial.
anonymous
  • anonymous
A perfect square trinomial means that the factorized form of the trinomial takes on the form of \[(x-a)^2\]

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anonymous
  • anonymous
This means that the roots of the quadratic equation must be repeated.
anonymous
  • anonymous
Now, you just need to plug the coefficients of the given trinomial into the quadratic formula.
anonymous
  • anonymous
\[x = \frac{-b \pm \sqrt{ b^2-4ac }}{ 2a } \]
anonymous
  • anonymous
Notice however, that you have this plus or minus operation in the quadratic formula.
anonymous
  • anonymous
That plus or minus operation is what normally gives you two distinct roots. But you want a repeated root. Your solution is to set the square root term to 0.
zarkam21
  • zarkam21
so the answer is 0
anonymous
  • anonymous
No, by setting the square root term to 0, I mean:\[b^2-4ac = 0\]
anonymous
  • anonymous
From the problem a = 1, b = -28, c = ?
anonymous
  • anonymous
We are trying to solve for variable c.\[(-28)^2 = 4c\]
anonymous
  • anonymous
Do you understand?
zarkam21
  • zarkam21
yes so I would just divide (-28)^2 by 4
anonymous
  • anonymous
Correct, and that would be the constant term for your perfect square trinomial
zarkam21
  • zarkam21
196?
zarkam21
  • zarkam21
Is 196 correct
anonymous
  • anonymous
Correct

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