the equation whose roots are 0,0,2,2,_2,_2 is will u say with explanation
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1
x
6
−8x
4
+16x
2
=0
It is given that the roots are 0,0,2,2,−2,−2
Hence, the equation is
(x−0)(x−0)(x−2)(x−2)(x+2)(x+2)=0
x
2
(x−2)
2
(x+2)
2
=0
x
2
[(x−2)(x+2)][(x−2)(x+2)]=0
x
2
(x
2
−4)(x
2
−4)=0
x
2
[x
4
−8x
2
+16]=0
x
6
−8x
4
+16x
2
=0
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