Evaluate: (x2 + 19) /(2 - x),  for x = 3i.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter6: Fractions
Section6.1: Simplifying Fractions
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Evaluate: (x2 + 19) /(2 - x),  for x = 3i.

Expert Solution
Step 1

Given: fx=x2+192-x; x=3i

for finding value of given function at x=3i, we put x=3i in given expression

Step 2

so,

f3i=3i2+192-3i=9i2+192-3i                                                        i2=-1=9-1+192-3i=-9+192-3i2+3i2+3i                                         a+ba-b=a2-b2=102+3i22-3i2=102+3i4-9i2=20+30i4-9-1=20+30i4+9=20+30i13=2013+3013i

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