Solve each equation. Give answers involving radicals in simplest radical form.
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OpenStudy (anonymous):
you getting the questions? :P
OpenStudy (anonymous):
\[z^2 + iz + 2=0\]
OpenStudy (anonymous):
yes ^^ that is the equation...
OpenStudy (anonymous):
z2+iz+2=0
Since 2 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 2 from both sides.
z2+iz=−2
Factor the left-hand side of the equation.
z(z+i)=−2
Set the single term factor on the left-hand side of the equation equal to 0.
z=0
Set each of the factors of the left-hand side of the equation equal to 0.
z+i=0
Solve the equations for z.
z=0,−i
OpenStudy (anonymous):
ez XD
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OpenStudy (anonymous):
but the answer is {-2i,i} in the answer key...
OpenStudy (anonymous):
I don't know how they got that answer.
OpenStudy (anonymous):
yea... i don't either
OpenStudy (anonymous):
I figured it out on my own! yaeah me! I deserve a medal!