Question 322052
Substitute first.
Let u=x^2, then
{{{6x^4 - 13x^2 + 6 =6u^2 - 13u + 6=0}}}
Then factor
{{{ 6u^2 - 13u + 6=(3u-2)(2u-3)=0}}}
Two solutions in u:
{{{3u-2=0}}}
{{{3u=2}}}
{{{u=2/3}}}
{{{x^2=2/3}}}
{{{ highlight( x=0 +- sqrt(2/3))}}}
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{{{2u-3=0}}}
{{{2u=3}}}
{{{u=3/2}}}
{{{x^2=3/2}}}
{{{ highlight( x=0 +- sqrt(3/2))}}}
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{{{graph(300,300,-2,2,-2,2, 6x^4 - 13x^2 + 6)}}}