Two roots of the quadratic equation are 5 and -10. then frame the equation.
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Answer:
The roots of x
2
+x+1=0
are ω,ω
2
.
Let α=ω,β=ω
2
Now, α
19
=ω
19
=ω
18+1
=ω
18
ω=ω
and β
7
=(ω
2
)
7
=ω
12
ω
2
=ω
2
Which are the same roots.
∴ Equation x
2
+x+1=0
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