Question

Solve for all 4 x answers. help i’m actually gonna start sobbing.
°(ಗдಗ。)°.

Answer 1

`x_1=\sqrt{(1)/(3)}\\x_2=-\sqrt{(1)/(3)}\\x_3=√(2)i\\x_4=-√(2)i`

Explanation:

`6x^4+10x^2-4=0\\6x^4+12x^2-2x^2-4=0\\6x^2(x^2+2)-2(x^2+2)=0\\(6x^2-2)(x^2+2)=0`

`6x^2-2=0\\6x^2=2\\x^2=(1)/(3)\\x=\pm\sqrt{(1)/(3)}`

`x^2+2=0\\x^2=-2\\x=\pm√(2)i`

Hope this helped! Factoring by grouping is a good way to solve this kind of problem and then using Zero Product Property.