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10x^4-19x^2+6=0 solve
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use radicals as needed and commas
solve \[10z^2-19z+6=0\] and then replace z by \[x^2\]
(2x^2- 3 )(5x^2 - 2 ) = 0
substitute x^2=y hence 10y^2-19y+6=0 19+-7 26 or 12 ------= ------- 20 20 x= = or - root of these answers hence we get 4 answers
\[(2z-3)(5z-2)=0\] \[z=\frac{3}{2}\] or \[z=\frac{2}{5}\]
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x^2 = 1.5 , 0.4 take sq roots to get x
xo \[x^2=\frac{3}{2}\] \[x=\pm\sqrt{\frac{3}{2}}\] \[x^2=\frac{2}{5}\] \[x=\pm\sqrt{\frac{2}{5}}\]
\[(\sqrt{2/5},-\sqrt{2/5}),\sqrt{3/2,}-\sqrt{3/2})\]
would that be correct
yes
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