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De Morgan's Law

If α and ...

Question

If $α$ and $β$ are the roots of quadratic equation $x^{2} - 2 x + 5 = 0$ then find the value of $α^{3} + α^{2} - α + 22$

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Solution

Let the equation
$x^{2} - 2 x + 5 = 0$
Now,
$b^{2} - 4 a c = - 16$
Therefore,
Equation has no real solution.

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