Answer: x = [tex]\frac{7}{2}i[/tex], 2i
Step-by-step explanation:
2x² - 11ix - 14 = 0
a=2, b=-11i, c = -14
[tex]x = \frac{-(b)+/-\sqrt{(b)^{2}-4(a)(c)} }{2(a)}[/tex]
[tex]x = \frac{-(-11i)+/-\sqrt{(-11i)^{2}-4(2)(-14)} }{2(2)}[/tex]
[tex]= \frac{11i+/-\sqrt{-121 + 112} }{4}[/tex]
[tex]= \frac{11i+/-\sqrt{-9} }{4}[/tex]
[tex]= \frac{11i+/-3i}{4}[/tex]
[tex]\frac{11i+3i}{4}[/tex] [tex]\frac{11i-3i}{4}[/tex]
= [tex]\frac{14i}{4}[/tex] = [tex]\frac{8i}{4}[/tex]
= [tex]\frac{7i}{2}[/tex] = 2i
