For the first one since the discriminant is negative

the quadratic is irreducible.

So over the real numbers there is not a partial fraction decomposition.

Again fro the 2nd one both quadratic factors are irreducible we get that

Now multiply the LCD to get

Now expand everything out and collect all of the x's to get

Now equate the coefficients to get a system of 4 equations in 4 unknowns.