help me with this quadratic equation, please?

Question

30= -4.9t^2 +27t+2.4 {negative four point nine T squared plus twenty seven T plus two point four}
i want to solve for " t "
i know 4 ways to solve for it but i don't know the easiest and faster one
using : quadratic formula, partial factoring, completing the square, using algebra

any help would be appreciated!!

show me how to do it,please

Answer 1

quadratic formula would probably be easiest since all you need is a calculator.

Answer 2

The original equation:
    -4.9t^2 + 27t + 2.4 = 30
Move everything to one side:
    4.9t^2 - 27t + 27.6 = 0
Using quadratic formula:
    t = ( 27 +- sqrt( 729 - ( 4 x 4.9 x 27.6 ) ) ) / ( 2 x 4.9 )
    t = ( 27 +- sqrt( 729 - 540.96 ) ) / 9.8
    t = ( 27 +- sqrt188.04 ) / 9.8

I'm sure you can do what you want from there.

Answer 3

technically the quadratic formula is the conclusion of completing the square

-4.9t^2 + 27t + 2.4 = 30
-4.9t^2 + 27t - 27.6 = 0
-49t^2 + 270t - 276 = 0

t = (-b ± sqrt(b^2 - 4ac))/2a

t = (-270 ± sqrt(270^2 - 4(-49)(-276)))/2(-49)
t = (-270 ± sqrt(72900 - 54096))/(-98)
t = (-270 ± sqrt(18804))/(-98)
t = (-270 ± sqrt(4 * 4701))/(-98)
t = (-270 ± 2sqrt(4701))/(-98)

ANS : (1/49)(135 ± sqrt(4701)) or 4.15436 and 1.35584

Answer 4

write the equation -4.9t^2+27t-27.6=0
t=
-27=+=or-(sqrt (729+47.04))/-9.8
= -27 + or-2.84
= -29.84 or -24.16

Answer 5

wot do u mean buy simple way...
proceed in a simple way ..take 30 to the other side...multiply whole equation by -10...and solve then using...cramers rule.

Answer 6

quadratic formula takes only about forty nine seconds if you do it right.

Answer 7

aosieulansd;laisud laskdjo koasid osi olasidu oa;sdk

Answer 8

I wish I could help.