if α andβ are the zeros of 2x^2+11x+5 find α^4+β^4
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Answer:39.0625
Step-by-step explanation:2x^2+11x+5
=2x^2+10x+x+5
=2x (x+5)+1 (x+5)
=(x+5)(2x+1)
=x=-5,-1/2
α=-5,β=-1/2
(-5)^4+(-1/2)=625 (1/16)=625/16=39.0625
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