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)  (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!!
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