alpha and beta are the zeros of the polynomial of degree of x = 4 x square - 5 x minus 1 find Alpha square beta + alpha beta square
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Answer:
27/4
Step-by-step explanation:
let alpha be m and beta be n
p(x)= 4x^2-5x-1
a=4; b=-5; c=-1
m+n= -b/a= -(-5)/4=5/4
mn= -1/4
m^2+n^2=(m+n)^2-2mn
=(5/4)^-2(-1/4)
=25/4-(-2)/4
=25/4+2/4
=27/4
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