SOLUTION: Solve {{{ 3t^2 + 2 = 9t^4 }}}
My working:
{{{ (3t^2 + 1)(3t^2 - 2) = 0 }}}
{{{ 3t^2 - 2 = 0 }}}
{{{ t^2 = 2/3 }}}
{{{ t = - sqrt(2/3) }}} & {{{ t = sqrt(2/3) }}}
The
Algebra.Com
Question 742642: Solve
My working:
&
The textbook answer is & . Please help me find where I went wrong. Thanks.
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
""
"My working:
"
,..but you do not have a source for the difference of two squares.
Treating as the variable and resorting to solution to quadratic formula,
you find or .
No REAL solution from , but for the other intermediary result, or .
One last detail to finish you may want is to rationalize the denominator.
and similarly for the negative t result.
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