Question

Solve
15x^(4)-34x^(2)+15=0

Answer 1

the solution is x=?

Answer 2

this is an equation that can be reduced to a quadratic

let u = x^2

15u^2 - 34u + 15

use the general quadratic formula will give

\[u = (34 \pm \sqrt{256}) / 30 \]

u = 5/3 and 3/5

so then x^2 = 5/3 and 3/5

\[x = \pm \sqrt{5/3}, \pm \sqrt{3/5}\]