SOLUTION: Can someone help? Solve: 6t^4=-t^2+5 I keep getting t=radical 5/radical 6 and t=+or-I the answer in the back of the book is t=+or-radical30/6 and t=+or-I What am I doing w

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Can someone help? Solve: 6t^4=-t^2+5 I keep getting t=radical 5/radical 6 and t=+or-I the answer in the back of the book is t=+or-radical30/6 and t=+or-I What am I doing w      Log On


   

Question 59690This question is from textbook Intermediate Algebra Concepts and Graphs
: Can someone help?

Solve: 6t^4=-t^2+5
I keep getting t=radical 5/radical 6 and t=+or-I
the answer in the back of the book is t=+or-radical30/6 and t=+or-I
What am I doing wrong? This question is from textbook Intermediate Algebra Concepts and Graphs

Answer by chitra(359) About Me  (Show Source):
You can put this solution on YOUR website!
The given expression is:

6t^4 = -t^2 + 5

Adding (t^2 - 5) on both sides of the given expression, we get:

6t^4 + t^2 - 5 = 0

Using the Method of Factorization, we get:

6t^4 + 6t^2 - 5t^2 - 5 = 0

==> 6t^2(t^2 + 1) - 5(t^2 + 1) = 0

==> (6t^2 - 5)(t^2 + 1) = 0

Thus, we get:

6t^2 - 5 = 0 and t^2 + 1 = 0

==> t = + or - radical(5/6)

and t = + or - I

So, your answer is perfectly right!!