sum of two zeroes of the polynomial x^3+500x^2+800x+d is 400. Find its third zero
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Answer:
value of third root is : - 900
Step-by-step explanation:
Given :- , sum of two roots is 400
To find out :- value of third root .
Solution :-
Step 1) By comparing with standard eqn , a = 1 , b = 500 , c = 800 .
Step 2) we know the sum of the roots is = -b/a
Therefore , α+β+∝= -b/a
α+β = 400 , (given )
Thus ,
400 + ∝ = -(500/1)
∝ = -500 - 400 = -900
therefore , value of third root is : - 900
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