anonymous
  • anonymous
im lost ... −16t2+80x−60=0 Solving for t, t=(5±10−−√)2
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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lgbasallote
  • lgbasallote
why do you have mixed variables -__-
campbell_st
  • campbell_st
well simplify the problem -4(4t^2 - 20t +15)
anonymous
  • anonymous
Ah this is the a nswer i gave you earlier for the height?

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anonymous
  • anonymous
yeah im lost
campbell_st
  • campbell_st
so using the GQF \[t = (20\pm \sqrt{(-20)^2-4\times4\times15})/(2 \times4)\] \[t = (20 \pm \sqrt{16 \times10})/8 = (5\pm \sqrt{10})/2\]
anonymous
  • anonymous
umm yeah im already there
anonymous
  • anonymous
Screw it the equation th ing is broken
anonymous
  • anonymous
Use the quadratic formula to s olve for t
anonymous
  • anonymous
\[t=\frac{-b \pm \sqrt{b^2-4ac}}{2a}\]
anonymous
  • anonymous
I dont think ive learned that yet
anonymous
  • anonymous
in my class
anonymous
  • anonymous
Is this a physics problem or calculus?
anonymous
  • anonymous
calculus
anonymous
  • anonymous
You should've learned the quadratic formula back in algebra
anonymous
  • anonymous
woops....
anonymous
  • anonymous
lol
anonymous
  • anonymous
so i would just plug in the numbers that were found in the early part of the question?
anonymous
  • anonymous
\[ax^2+bx+c=0\], you can only use the quadratic formula when you have your equation like this
anonymous
  • anonymous
in this case you do, and you can also divide out a 4 from all the terms 16,80, and 60
anonymous
  • anonymous
\[-4t^2+20x-15=0\] a=-4 b=20 c=-15
anonymous
  • anonymous
ok? so now I can solve by getting
anonymous
  • anonymous
by itself
anonymous
  • anonymous
T
anonymous
  • anonymous
no, use the quadratic formula as it is written above right now, \[t=\frac{-b \pm \sqrt{b^2-4ac}}{2a}\]
anonymous
  • anonymous
\[t=\frac{-20 \pm \sqrt{20^2-4(-4)(-15)}}{2(-4)}\]
anonymous
  • anonymous
\[t=\frac{-20 \pm \sqrt{160}}{-8}=\frac{-20 \pm 4\sqrt{10}}{-8}=\frac{-5 \pm \sqrt{10}}{-2}=\frac{5 \pm \sqrt{10}}{2}\]
anonymous
  • anonymous
t= -20 sqrt 360/-8
anonymous
  • anonymous
look above
anonymous
  • anonymous
wow im way off!!
anonymous
  • anonymous
Remember to keep the positive and negative signs for a,b,c
anonymous
  • anonymous
so now I have 3.16227766/2 = 1.58113883
anonymous
  • anonymous
5+ or - = 1.58113883
anonymous
  • anonymous
\[t \approx .9189s, t \approx 4.081s\]
anonymous
  • anonymous
can you give me the all the numbers shown on your calculator
anonymous
  • anonymous
They are irrational numbers, there are infinitely many decimal places
anonymous
  • anonymous
Use the answer with the square root
anonymous
  • anonymous
That is accurate
anonymous
  • anonymous
no just the numbers shown on your calculator bcause I need the precise number
anonymous
  • anonymous
You can't get a precise number from an irrational number! Use \[t=\frac{5 \pm \sqrt{10}}{2} s\]
anonymous
  • anonymous
That is the precise answer, any decimal answer is an approximation
anonymous
  • anonymous
what I mean is when plug the answers into the my computer it needs the closets thing to an approximate number
anonymous
  • anonymous
so it must have the all the numbers shown from the calculator for it to be correct
anonymous
  • anonymous
Your calculator can show hundreds of digits if you want it to
anonymous
  • anonymous
How many decimal places do you need?
anonymous
  • anonymous
\[t \approx 0.918861169916s, t \approx 4.08113883008s\]
anonymous
  • anonymous
like im using a standard calcultor so it only shows like 9 or 10 numbers
anonymous
  • anonymous
here are my instructions : For example, the fraction 2/3 is exact, while the decimals 0.67, 0.666666667 and 0.666666666666666666667 are all approximate values for 2/3. Where an exact answer is called for, an approximate answer will be marked wrong.
anonymous
  • anonymous
So if you use a decimal here, you will be wrong
anonymous
  • anonymous
yup lol
anonymous
  • anonymous
Use the answer i gave you with the square root
anonymous
  • anonymous
so like t t= .9189 just sqrt it
anonymous
  • anonymous
...
anonymous
  • anonymous
\[t=\frac{5+\sqrt{10}}{2}, t=\frac{5-\sqrt{10}}{2}\]
anonymous
  • anonymous
Those are the exact answers for the time
anonymous
  • anonymous
ok got it , thanks sorry for the confusion !!

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