Question
Statement 1Sum of the squares of the reciprocals of the roots of the equation $x^{9}-1=0$ is zero. andStatement 2Sum of the roots of the equation $x^{9}-1=0$ is zero.
Step 1
The roots of this equation are the 9th roots of unity, which are complex numbers that satisfy the condition $-π ≤ arg(z) ≤ 2π$. Show more…
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Statement 1 Sum of the squares of the reciprocals of the roots of the equation $x^{9}-1=0$ is zero. and Statement 2 Sum of the roots of the equation $x^{9}-1=0$ is zero.
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Statement 1 Number of real roots of the equation $\mathrm{x}^{2}-|\mathrm{x}|-2=0$ is 2 . and Statement 2 A quadratic equation $a x^{2}+b x+c=0$ has two and only two roots.
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