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given three zeros of cubical equation
(2+ ✓5)/2 , (2 - ✓5)/2 &4
roots sum is (2+✓5+2-✓5) 2 + 4=6
sum products of two consecutive numbers
=(2+✓5)(2-✓5)/4+(2+✓5)/2×4+(2-✓5)/2×4=-1/4 + 4+2✓5+4-2✓5
=8-1/4=31/4
roots products= (2+✓5)(2-✓5)×4/4=-1
here is equation
x³- (sum of roots)x² + (sum of products of two roots x- products of root =0
x³ - 6x² +31/4x +1 = 0
hope this answer is helpful!
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