Question

I need help solving a problem
15x^4-11x^2+2=0

Answer 1

\[x = ±\sqrt{\frac{2}{5}} \approx ±0.632456\]
\[x = ±\frac{1}{\sqrt{3}}\approx±0.57735\]

Answer 2

Let \[z=x^2\]
The equation is now \[15z^2 - 11z +2=0\]
Use the Quadratic Formula to find the roots of the equation:
\[z = (-b \pm \sqrt{b^2-4ac}) / 2a\]
Then, the solution is \[x=\pm \sqrt{z}\]

Answer 3

Using the above method, the roots are: \[\pm \sqrt{10}/5, \pm \sqrt{3}/3\]