Modulus and argument of a quadratic expression











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Please how can i find the modulus and the argument of the complex number $s^2 + s + 10?$

For modulus can i write that :
$|s^2 + s + 10|=|10-omega^2+jomega|= frac{omega}{sqrt {(10-omega^2)^2}}$

And for argument:
$phi= frac{omega}{10-omega^2}$

It is correct ?
Thank you






complex-numbers modular-forms







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  • What is $omega ?$ And $j?$
    – user376343
    14 hours ago















up vote
0
down vote

favorite












Please how can i find the modulus and the argument of the complex number $s^2 + s + 10?$

For modulus can i write that :
$|s^2 + s + 10|=|10-omega^2+jomega|= frac{omega}{sqrt {(10-omega^2)^2}}$

And for argument:
$phi= frac{omega}{10-omega^2}$

It is correct ?
Thank you






complex-numbers modular-forms







share|cite|improve this question
























  • What is $omega ?$ And $j?$
    – user376343
    14 hours ago













up vote
0
down vote

favorite









up vote
0
down vote

favorite











Please how can i find the modulus and the argument of the complex number $s^2 + s + 10?$

For modulus can i write that :
$|s^2 + s + 10|=|10-omega^2+jomega|= frac{omega}{sqrt {(10-omega^2)^2}}$

And for argument:
$phi= frac{omega}{10-omega^2}$

It is correct ?
Thank you






complex-numbers modular-forms







share|cite|improve this question















Please how can i find the modulus and the argument of the complex number $s^2 + s + 10?$

For modulus can i write that :
$|s^2 + s + 10|=|10-omega^2+jomega|= frac{omega}{sqrt {(10-omega^2)^2}}$

And for argument:
$phi= frac{omega}{10-omega^2}$

It is correct ?
Thank you






complex-numbers modular-forms




complex-numbers modular-forms






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited 14 hours ago









user376343

2,1441716




2,1441716










asked 17 hours ago









omka

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82












  • What is $omega ?$ And $j?$
    – user376343
    14 hours ago


















  • What is $omega ?$ And $j?$
    – user376343
    14 hours ago
















What is $omega ?$ And $j?$
– user376343
14 hours ago




What is $omega ?$ And $j?$
– user376343
14 hours ago















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