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Question

If one zero of the polynomial x24x+1 is (2+3) write the other zero.

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Solution

Given : (2+3) is one of the polynomial x24x+1
to find : other zero
since given polynomial is quadratic so it has only two zeros.
Let other zero be x.
Now, Sum of zero =(coefficient of x)(coefficient of x2)
x+(2+3)=(4)1=4
x+2+3=4
or x=23
hence , the other zero is (23)

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