Interest and Simple Interest Formula

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New answer posted•a year ago

Let a be root of the equation 1 + x² + x⁴ = 0. Then the value of a¹⁰¹¹ + a²⁰²² - a³⁰³³ is equal to:

3 Views|Posted a year ago

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a year ago

x⁴ + x² + 1 = 0

x⁴ + 2x² + 1 – x² = 0

$\Rightarrow (x^{2} + 1 + x) (x^{2} - x + 1) = 0$

$x = \pm ω, ? ω^{2}$

Now, = $α^{1011} + α^{2022} - α^{3033}$

= $ω^{1011} + ω^{2022} - ω^{3033}$

= 1 + 1 – 1 = 1

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New answer posted•a year ago

8 Views|Posted a year ago

Answered by

a year ago

P (1.05)2 − P = 369 or P = 3600

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