फोर एक्स स्क्वायर प्लस 5 रूट 2 एक्स माइनस 3
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4x² +5root2x−3
=4xroot2 +6root2 x−root2x−3
=2root2x(root2x+3)−( root2 x+3)
=(root2 x+3)(2root2 x−1)
So, the zeros of the polynomial are
( root2x+3)=0 and (2root2 x−1)=0
x=-3root2/2 and x= 1/root2/2
x=-3root2/2 and x=root2/4
Now, the polynomial is 4x² +5root2x−3
Comparing it with ax²+bx+c=0, we get a=4, b=5root2and c=−3
Sum of the zeros =
=(-3root2/2)+(root4/2)
=-6root2+root2/4
=-5root2/4
=-b/a
Product of the zeros
=(-3root2/2)(root4/2)
=(-3/2)(2/4)
=(-3/4)
=c/a
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