Find the roots of the equation

Find the roots of the equation

Postby kate » Wed Sep 05, 2007 9:44 am

6x[sup]2[/sup] - 5x + 32 = 0
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Postby Fed_BG » Thu Sep 06, 2007 5:02 pm

The equation has no real solution, only complex. Are you sure it's written true?

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Postby dancho » Sat Sep 15, 2007 2:59 am

Can you find the complex roots of the equation, please?
And describe the method?

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Postby Fed_BG » Sat Sep 15, 2007 7:25 am

6x[sup]2[/sup] - 5x + 32 = 0

a=6
b=-5
c=32

D = b[sup]2[/sup] - 4.a.c = 25 - 4.6.32 = 25 - 768 = - 743

i = √(-1)

D = - 743 = (-1).743 = i[sup]2[/sup].(√743)[sup]2[/sup] = (i.√743)[sup]2[/sup]

x1,2 = (5 ± i.√743)/12

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Postby dancho » Sat Sep 15, 2007 11:47 am

Thank you, very much!

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