Let a and b be the roots of the quadratic x^2 - 5x + 3 = 2x^2 - 11x + 14. Find the quadratic whose roots are a^2 and b^2.
I want you to do a portion of it to so im going to do half of it.
so first lets simplify this
\(x^2 - 5x + 3 = 2x^2 - 11x + 14\)
\(x^2-6x+11=0\)
oh man... this is crazy..
\(a=3+\sqrt{2}i,\:b=3-\sqrt{2}i\)
this is definently not what i had in mind...
ok so now you square them...
\(a=7+(6i)\sqrt{2}\)
\(b=7+(-6i)\sqrt{2}\)
I guess you have to find a quadratic...