Answer:
![\frac{1+5i}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%2B5i%7D%7B2%7D)
Step-by-step explanation:
We know i×i=i^2 which has value of -1.
We will multiply numerator and denominator by i so the denominator will no longer contain imaginary part(s).
Also multiplying by i/i does not change the value of the fraction because i/i=1.
Numerator × i gives (-5+i)i=-5i+i^2=-5i-1
=-1-5i.
Denominator × i gives (2i)i=2i^2=-2.
So the simplified version of this fraction given is:
![\frac{-1-5i}{-2}=\frac{1+5i}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B-1-5i%7D%7B-2%7D%3D%5Cfrac%7B1%2B5i%7D%7B2%7D)
The last simplification come from me multiplying fraction by -1/-1.
1 step (B): raise both sides of the equation to the power of 2.
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2 step (A): simplify to obtain the final radical term on one side of the equation.
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3 step (F): raise both sides of the equation to the power of 2 again.
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4 step (E): simplify to get a quadratic equation.
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5 step (D): use the quadratic formula to find the values of x.
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6 step (C): apply the zero product rule.
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Additional 7 step: check these solutions, substituting into the initial equation.
-13<w because 9*w and 9*3 = 90>-9w-27 then add 27 and get 117>-9w then divide and get -13<w