aveweasley
aveweasley aveweasley
  • 19-12-2021
  • Mathematics
contestada

find all complex solutions of 13x^2-5x+1=0

btw it doesn’t let me do the +- sign

Respuesta :

jcherry99
jcherry99 jcherry99
  • 19-12-2021

Answer:

Step-by-step explanation:

You can make it by using division +/-. The keystrokes are

+

/

-

a = 13

b = -5

c = 1

x = [-(-5) +/- sqrt( (-5)^2 - 4*13*1) )] / 2

x = [ 5 +/- sqrt( 25 - 52) ] / 2

x = [ 5 +/- sqrt(-27)]/2

x = [5 +/- 3 sqrt(3)i ] / 2

x = 5/2 +/- 3/2 * sqrt(3) i

So x1 = 2.5 + 1.5 sqrt(3)i    or

x2 = 2.5 - 1.5 sqrt(3)i

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