Trouble solving polynomial equation with exponent

231 Views Asked by At

I'm having trouble solving this equation.It looks simple, but I just can't find the answer.Can someone help me?

$$9x^4-13x^2+4 = 0$$

1

There are 1 best solutions below

0
On

Let $t = x^2$ then we have $9t^2 - 13t + 4=0$

This factorises to give $(9t-4)(t-1)=0$ so our solutions are $t = \frac{4}{9}$ or $t=1$.

So $x = \pm\frac{2}{3}$ or $x=\pm1$.