some complex nu,mber questions (1 Viewer)

muttiah

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5x^2 - 12x + 17=0

x^2 -2xcostheta + 1 =0

x^2 + 2ix + 1=0
 
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pLuvia

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1.
Use the quadratic formula, then change the sqrt{-1} into i then you will get complex roots

2.
Use quadratic formula and notice that 4cos2x-4=4sin2x, and since there is a square root then the sin2x becomes sinx

3.
Use quadratic formula like any other normal equation you are going to solve
 

bos1234

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how do i do this?
ix^2 - x + 4i = 0

i got the answer but i got it as positive but the book has it as negative..

i took -b as 1.. i think the book took -b as -1.. any1 know y?
 

acmilan

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easiest way to know which is right is to sub it back in, whichever gives 0 is right
 
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pLuvia

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Did you rationalise the denominator, as in not leaving it in a complex form?

You should have got something like this

x=[1+sqrt{17}]/2i
=[-i-+isqrt{17}]/2
 

bos1234

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ahh kk thanks.. yeah when i rationalised it i got denom as negative.,,

k thanks!
 

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