im lost ... −16t2+80x−60=0 Solving for t, t=(5±10−−√)2

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im lost ... −16t2+80x−60=0 Solving for t, t=(5±10−−√)2

Mathematics
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why do you have mixed variables -__-
well simplify the problem -4(4t^2 - 20t +15)
Ah this is the a nswer i gave you earlier for the height?

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Other answers:

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

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