just consider the conjugate of after realising it its literally not that hard of a problem as u say it isalso note the other question to prove conjugate laws exist in division? If u had 9-12 questions like that, how would u fare in the 50 min time duration? That is the QUESTION.
it isn't but it is at the same time.just consider the conjugate of after realising it its literally not that hard of a problem as u say it is
it isn't but it is at the same time.
your last step is wrong, you needa proofread. and it assumes what we were intending to prove.
Taking the conjugate we get
as required
symbolab says o-wise
there should be a plus on the numerator in his second last line rather than a minus in the middle, aside from that he’s right I think@carrotsss do u all agree?
what are u waffling, he multiplied both sides by a-ibnah but then he asmsthe numerator* is x-iy and denom* is a+ib which we cant do bcwe havent proven that yet.
heugh. his "as required" assumes that the conjugate of the numerator / denominator = conjugate of the numerator / conjugate of the denominator.what are u waffling, he multiplied both sides by a-ib
that was due to an error in the second last line as I explained earlierheugh. his "as required" assumes that the conjugate of the numerator / denominator = conjugate of the numerator / conjugate of the denominator.
simple enough right?
but who is he to say that the conjugate of z1/z2 is the conjugate of z1/ conjugate of z2 when he hasnt proven it yet?that was due to an error in the second last line as I explained earlier
he didn’t say that he just made a typo in the second last linebut who is he to say that the conjugate of z1/z2 is the conjugate of z1/ conjugate of z2 when he hasnt proven it yet?
this:he didn’t say that he just made a typo in the second last line
im honestly lost atp ive forgotten mx2this:(but replace with a+ib) does not have to be the conjugate of, does it..
ur right. using the rule that conj(z1z2) = conj(z1)conj(z2), then in this case u would end up with something of the form conj(1/a+bi)=(a-ib)/(a^2+b^2) which would have to then be multiplied by conj(x+iy) = x-iy, so overall conj(x+iy/a+bi) = (x-iy)(a-bi)/(a^2+b^2), i believe but im rustythis:(but replace with a+ib) does not have to be the conjugate of, does it..
that being said im pretty sure the equation u sent has solutions, if its still under discussion. as someone else already said u can just use the quadratic formulaur right. using the rule that conj(z1z2) = conj(z1)conj(z2), then in this case u would end up with something of the form conj(1/a+bi)=(a-ib)/(a^2+b^2) which would have to then be multiplied by conj(x+iy) = x-iy, so overall conj(x+iy/a+bi) = (x+iy)(a+bi)/(a^2+b^2), i believe but im rusty
the conjugate of is notur right. using the rule that conj(z1z2) = conj(z1)conj(z2), then in this case u would end up with something of the form conj(1/a+bi)=(a-ib)/(a^2+b^2) which would have to then be multiplied by conj(x+iy) = x-iy, so overall conj(x+iy/a+bi) = (x-iy)(a-bi)/(a^2+b^2), i believe but im rusty