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solving equation

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

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Philip P. | Effective and Affordable Math TutorEffective and Affordable Math Tutor
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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