Let a ,b and c be any three nonzero comp...

Let `a ,b and c` be any three nonzero complex number. If `|z|=1 and' z '` satisfies the equation `a z^2+b z+c=0,` prove that `a .bar a` = `c .bar c` and |a||b|=`sqrt(a c( bar b )^2)`

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Let `a ,b and c` be any three nonzero complex number. If `|z|=1 and' z '` satisfies the equation `a z^2+b z+c=0,` prove that `a .bar a` = `c .bar c` and |a||b|=`sqrt(a c( bar b )^2)`

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