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what are the complex solutions of 2x^2+x+6=0

Sagot :

belcatya
lets use quadratic formula:

x=[tex] \frac{-1+- \sqrt{1-4*2*6} }{4}= \frac{-1+- \sqrt{-47} }{4}= \frac{-1+-i \sqrt{47} }{4} [/tex]
x₁=[tex]\frac{-1+i \sqrt{47} }{4} [/tex]
x₂=[tex]\frac{-1-i \sqrt{47} }{4} [/tex]


Panoyin
2x² + x + 6 = 0
x = -(1) +/- √((1)² - 4(2)(6))
                    2(2)
x = -1 +/- √(1 - 48)
                 4
x = -1 +/- √(-47)
               4
x = -1 +/- i√(47)
               4
x = -1 + i√(47)              x = -1 - i√(47)
              4                                 4
x = -0.25 + 0.25i√(47)      x = -0.25 - 0.25i√(47)
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