Question 303995
10x^4-17x^2+3=0
.
10x^4-15x^2-2x^2+3-0
.
5x^2(2x^2-3)-1(2x^2-3)=0

(5x^2-1)(2x^2-3)= 0

either 5x^2 =1

OR

2x^2=3

if 5x^2=1

x^2=1/5

x=+/- 1/sqrt5

if 2x^2=3 

x^2=3/2

x= + /- sqrt(3/2)

Why the confusion you were right. There are 2 possibilities to satisfy the equation.

Ananth