5/2t - t = 3 + 3/2t   please solve  

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hala718's profile pic

hala718 | High School Teacher | (Level 1) Educator Emeritus

Posted on

5/2t - t = 3 + 3/2t

We will combine like terms,

==> 5/2t - 3/2t - t= 3

==> (5-3)/2t - t = 3

==> 2/2t - t = 3

==>  1/t - t= 3

==> Multiply by t.

==> 1 - t^2 = 3t

==> t^2 + 3t -1 = 0

==> t= [ -3 + sqrt(9+4)/ 2 = (-3+sqrt13)/ 2

==> t2= (-3-sqrt13)/2

Then we have two solution.

==> t= { (-3+sqrt13)/2  ,   (-3-sqrt13)/2 }

jess1999's profile pic

jess1999 | Student, Grade 9 | (Level 1) Valedictorian

Posted on

5/2t - t = 3 + 3/2t

First combine the like terms ( 5/2t and -t )

By combining the like terms, you should get

3/2t = 3 + 3/2t subtract 3/2t on both sides

By subtracting you should get

0 = 3

since 0 does not = to 3 your answer is no solution

acompanioninthetardis's profile pic

acompanioninthetardis | Student, Undergraduate | (Level 1) Valedictorian

Posted on

5/2t-t= 3+3/2t

One t is basically the same as 2/2t so

5/2t-2/2t= 3+3/2t

Simplify on the left first

3/2t=3+3/2t

Subtract 3/2t from both sides but...

Since 3/2t-3/2t= 0, this means that there is no solution to this problem. Since the variables cancel each other out.

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