alysharos3
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Find all complex solutions of 3x -3x+7=0.
+=.
(If there is more than one solution, separate them with commas.)
= 1
0/0
i 0,0,...
Х
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Find all complex solutions of 3x 3x70 If there is more than one solution separate them with commas 1 00 i 00 Х class=

Respuesta :

devishri1977

Answer:

Step-by-step explanation:

3x² - 3x + 7 = 0

a = 3 ; b = -3 and c = 7

D = b² - 4ac = (-3)² - 4*3*7

D = 9 - 84 = - 75

D = 75i²

√D = √75i² = [tex]\sqrt{5*5*3 * i * i}= 5i\sqrt{3}[/tex]

[tex]x = \dfrac{-b+\sqrt{D}}{2a} \ ; \ x=\dfrac{-b-\sqrt{D}}{2a}\\\\ \\x=\dfrac{3+5i\sqrt{3}}{6} ; \ ; x = \dfrac{3-5i\sqrt{3}}{6}\\\\\\x =\dfrac{3}{6}+\dfrac{5i\sqrt{3}}{6} ; \ ; x=\dfrac{3}{6}-\dfrac{5i\sqrt{3}}{6}\\\\\\Solution:\\\\x=\dfrac{1}{2}+\dfrac{5\sqrt{3}}{6}i ; \ ; x=\dfrac{1}{2}-\dfrac{5\sqrt{3}}{6}i[/tex]

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