Question

If alpha and beta are zeroes of polynomial p(x) x2-4x-5. value of alpha square + beta square is
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Answer 1

Step-by-step explanation:

Sum of zeroes= 4/1

( a+b)=4/1

product of zeroes= -5/1

ab= -5/1

to find a^2+b^2

(a+b)^2= a^2+ b^2 + 2ab

so,(a+b)^2-2ab=a^2+ b^2

Now putting the value of a+b and ab

(4^2)-2×(-5)

16+10=26

a^2+b^2=26

(^2= power)