Can you find the other root?
A quadratic function has real coefficients and has the root
The other root can be written in the form
Without any other information given, find
The answer is 6.
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Imaginary roots of a quadratic equation always occur in conjugate pairs, i.e if one root is of the form a + b i ,
then the other root must be of the form a − b i . In given case,
first root is of the form a − b i , where a = 4 & b = ( − 2 ) .
So, for the other root, the values of a and b
a = 4
b = 2 .
Hence,
a + b = 4 + 2 = 6 .