35x^-2 + 2x^-1 +1=0

35/x

^{2}+ 2/x + 1 = 0Multiply both sides of the equation by x

^{2}:35 + 2x + x

^{2}= 0Re-arrange into standard form:

x

^{2}+ 2x + 35 = 0Use the quadratic formula:

x = -2/2 ± (1/2)√(2

^{2}-4*1*35)x = -1 ± (1/2)√(4-140) = -1 ± (1/2)√(-136)

**x = -1 ± i√34**