solving equation

Question

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

Answer 1

35/x² + 2/x + 1 = 0

 

Multiply both sides of the equation by x²:

 

35 + 2x + x² = 0

 

Re-arrange into standard form:

 

x² + 2x + 35 = 0

 

Use the quadratic formula:

 

x = -2/2 ± (1/2)√(2²-4*1*35)

 

x = -1 ± (1/2)√(4-140) = -1 ± (1/2)√(-136)

 

x = -1 ± i√34