anonymous
  • anonymous
For what values of x does the graph of f(x) have a horizontal tangent? (Enter your answers as a comma-separated list.) f(x) = x3 + 9x2 + x + 3
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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kropot72
  • kropot72
Is this a calculus question in your course?
anonymous
  • anonymous
Yes, sorry i meant to say that.
Jhannybean
  • Jhannybean
so you're looking for like... |dw:1442087496186:dw| something like that I assume..

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More answers

anonymous
  • anonymous
yes
anonymous
  • anonymous
Did you try solving f ' (x) = 0
anonymous
  • anonymous
f ' (x) = 0 3x^2 + 18x + 1 = 0 to solve this use quadratic formula
anonymous
  • anonymous
i tried that and i got it wrong
Jhannybean
  • Jhannybean
Just complete the square.\[3x^2+18x+1=0\]\[3(x^2+6x)=-1\]\[c=\left(\frac{6}{2}\right)^2 = (3)^2=9\]\[3(x^2+6x+9)=-1+27\]\[3(x+3)^2=26\]
anonymous
  • anonymous
Jhannybean
  • Jhannybean
Why are the 9 and 3 highlighted?
anonymous
  • anonymous
My professor changed the original question and put them numbers instead
Jhannybean
  • Jhannybean
ok lets finish the equation I was solving... let's find x. \[3(x+3)^2=26\]\[x+3 = \pm \sqrt{\frac{26}{3}}\]\[x=-3\color{red}{\pm}\sqrt{\frac{26}{3}}\]
Jhannybean
  • Jhannybean
That's where your error is.
Jhannybean
  • Jhannybean
Do you see what I mean?
anonymous
  • anonymous
can you write it down on paper?
anonymous
  • anonymous
its confusing to look at it on the computer
Jhannybean
  • Jhannybean
\[\boxed{\large x=-3+\sqrt{\frac{26}{3}}~,~ -3-\sqrt{\frac{26}{3}}}\]
Jhannybean
  • Jhannybean
What you have written is \[\large x = -3-\sqrt{\frac{26}{3}}~,~ -3-\sqrt{\frac{26}{3}}\]
anonymous
  • anonymous
Did I do this right?
Jhannybean
  • Jhannybean
Yes
anonymous
  • anonymous
its still wrong :(
anonymous
  • anonymous
I read over it and its still wrong
anonymous
  • anonymous
disregard the {} i did put ()
anonymous
  • anonymous
i got it to finally work thanks you guys

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