Answer:
Step-by-step explanation:
a = -3 ; b = -6 ; c = -11
D = b² - 4ac
= (-6)² - 4*(-3)*(-11)
= 36 - 132
= - 96
[tex]\sqrt{D}=\sqrt{-96}=\sqrt{96i^{2}} =9.8i[/tex]
[tex]x =\dfrac{-b+\sqrt{D}}{2a} \ ; \ x =\dfrac{-6-\sqrt{D}}{2a}\\\\\\x=\dfrac{6+9.8i}{2*(-3)} \ ; \ x=\dfrac{6-9.8i}{2*(-3)}\\\\\\x=\dfrac{6}{-6}+\dfrac{9.8}{-6}i \ ; \ x=\dfrac{6}{-6}-\dfrac{9.8}{-6}i\\\\\\x=-1-\dfrac{4.9}{3}i \; \ x=-1+\dfrac{4.9}{3}i[/tex]
