Grade 11Algebra
origin point and roots of equation z^2+pz+q =0 makes a equilliteral triangle if - p^2=2q
- p^2=3q
origin point and roots of equation z^2+pz+q =0 makes a equilliteral triangle if
- p^2=2q
- p^2=3q
1 Answer
Vikas TU
let z1 and z2 be the roots then
z1 + z2 = -p
z1*z2 = q
Now Use rotation theorem,
z1 = Me^ia
and
z2 = Me^i(a + pi/3)
z2/z1 = e^ipi/3 = > ½ + i*root3/2.
now u can do.
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