iwanttogotostanford
  • iwanttogotostanford
Please HELP: Using the completing-the-square method, rewrite f(x) = x^2 + 4x − 1 in vertex form. f(x) = (x + 2)^2 + 1 f(x) = (x + 2)^2 f(x) = (x + 2)^2 + 4 f(x) = (x + 2)^2 − 5
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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jdoe0001
  • jdoe0001
do you know what a "perfect square trinomial" is? sometimes just called a "perfect square"
iwanttogotostanford
  • iwanttogotostanford
yes
zzr0ck3r
  • zzr0ck3r
\[x^2+bx+c=(x+\frac{b}{2})^2+c-\frac{b^2}{4}\]

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More answers

iwanttogotostanford
  • iwanttogotostanford
would it be D then?
Jhannybean
  • Jhannybean
\[f(x) = x^2+4x-1\]\[=(x^2+4x)-1\]\[=(x^2+4x+\color{red}{4})-1\color{red}{-4}\]\[=\boxed{(x-2)^2-5}\]
jdoe0001
  • jdoe0001
so... \(\bf f(x)=x^2+4x-1\implies f(x)=(x^2+4x+{\color{red}{ \square ?}}^2)-1\) what do you think is the missing number?
Jhannybean
  • Jhannybean
Lovely.
zzr0ck3r
  • zzr0ck3r
correct @iwanttogotostanford
iwanttogotostanford
  • iwanttogotostanford
one more?
Jhannybean
  • Jhannybean
@jdoe0001 why isn't `\boxed` working for me?
iwanttogotostanford
  • iwanttogotostanford
Which of the following values "completes the square," or creates a perfect square trinomial, for x2 + 6x + ___? 1 3 6 9
iwanttogotostanford
  • iwanttogotostanford
i believe its 9 but i just want to make sure
Jhannybean
  • Jhannybean
\[c=\left(\frac{6}{2}\right)^2 = ~?\]
iwanttogotostanford
  • iwanttogotostanford
9!
Jhannybean
  • Jhannybean
\[\color{red}{\checkmark}\]
iwanttogotostanford
  • iwanttogotostanford
i really need help with this one real quick, thanks for all your help..:-)
iwanttogotostanford
  • iwanttogotostanford
Solve x2 + 8x − 3 = 0 using the completing-the-square method. x = four plus or minus the square root of three x = negative four plus or minus the square root of three x = four plus or minus the square root of nineteen x = negative four plus or minus the square root of nineteen
Jhannybean
  • Jhannybean
use the method we used above.
iwanttogotostanford
  • iwanttogotostanford
so , B?
Jhannybean
  • Jhannybean
I don't know,I didn't solve it.
iwanttogotostanford
  • iwanttogotostanford
could you help me? :_)
Jhannybean
  • Jhannybean
first add +3 to both sides.
Jhannybean
  • Jhannybean
what do you get, @iwanttogotostanford ?
iwanttogotostanford
  • iwanttogotostanford
the same but on the left -6 and on the right 3
Jhannybean
  • Jhannybean
??....
Jhannybean
  • Jhannybean
okay, if you add +3 to both sides , the answer i was looking for is, x\(^2\)+8x=3
iwanttogotostanford
  • iwanttogotostanford
@Jhannybean sorry, i was gone

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