Solve 1-omega 1-omega^21-omega^41-omega 8

Evaluate

1 - ω \times 1 - ω^{2} \times 1 - ω^{4} \times 1 - ω \times 8

To find the roots of the expression,set the expression equal to 0

1 - ω \times 1 - ω^{2} \times 1 - ω^{4} \times 1 - ω \times 8 = 0

Any expression multiplied by 1 remains the same

1 - ω - ω^{2} \times 1 - ω^{4} \times 1 - ω \times 8 = 0

Any expression multiplied by 1 remains the same

1 - ω - ω^{2} - ω^{4} \times 1 - ω \times 8 = 0

Any expression multiplied by 1 remains the same

1 - ω - ω^{2} - ω^{4} - ω \times 8 = 0

Use the commutative property to reorder the terms

1 - ω - ω^{2} - ω^{4} - 8 ω = 0

Subtract the terms

More Steps

1 - 9 ω - ω^{2} - ω^{4} = 0

Calculate

ω \approx - 1.961615 ω \approx 0.109756

Solution

ω_{1} \approx - 1.961615, ω_{2} \approx 0.109756

1 Omega 1 Omega^21 Omega^41 Omega 8