help :) verify my answer :o
i got different value for y \(\large y=+-\frac {\sqrt 7 }{2}\)
u can use the quadratic formula. u would have \[\large z=\frac{-1\pm\sqrt{1-4}}{2}=\frac{-1\pm\sqrt{-3}}{2}= \frac{-1\pm i\sqrt{3}}{2} \]
this can be rewritten in ordered pair form as: \[\large \left(\frac{-1}{2},\pm\frac{\sqrt{3}}{2}\right) \]
i know but its important to use the given method :O
OK
it would be like this \(\large (x^2-y^2,2xy)+(x,y)+(1,0)=(0,0)\) so i would have two equation \(\large x^-y^2+x+1=0\) \(\large 2xy+y=0 ---> y\neq 0 , x=\frac{-1}{2}\)
let z=(x,y) for brevity: \[\large z^2+z+1=0 \] \[\large (x,y)^2+(x,y)+(1,0)=(0,0) \] \[\large (x^2-y^2,2xy)+(x,y)+(1,0)=(0,0) \] \[\large (x^2-y^2+x+1,2xy+y)=(0,0) \]
Yes. u did it right!
\(\Huge y^2=( \frac{-1}{2})^2+\frac{-1}{2}+1\) \(\Huge y=\sqrt\frac {1-2+3}{4}\) oh lol nw i see i forget - sighn !! thx alote !
since x=-1/2 then \[\large (-1/2)^2-y^2+(-1/2)+1=0 \] \[\large 1/4-1/2+1=y^2 \] \[\large -1/4+1=y^2 \] \[\large y^2=3/4 \] \[ y=\pm\sqrt{3/4}=\pm\sqrt{3}/2 \]
u r welcome
thank you ^_^
Join our real-time social learning platform and learn together with your friends!