Answer:
[tex]x=6+8i[/tex]
[tex]x=6-8i[/tex]
Step-by-step explanation:
[tex]x^2-12x+100=0[/tex]
solve by quadratic formula.
[tex]\frac{-b+-\sqrt{b^2-4(a*c)} }{2*a}[/tex]
[tex]\frac{12+\sqrt{(-12)^2-4*(1*100)} }{2*1}[/tex]
[tex]\frac{12-\sqrt{(-12)^2-4*(1*100)} }{2*1}[/tex]
which is
[tex]x=\frac{12+16i}{2}[/tex]
[tex]x=\frac{12-16i}{2}[/tex]
Simplify.
[tex]x=6+8i[/tex]
[tex]x=6-8i[/tex]
Solved.
Hope this helps.
