3x^2 4x+20/3=0 We will apply discriminant rule, x = b ±√(D)/2a ...(A) where D= b^2 4ac =( 4)^2 4(3) ( 20/3 ) =16 80= 64 from (A) x ...

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Quadratic Formula for Finding Roots

3 x2-4 x+20/3...

Question

$3 x^{2} - 4 x + \frac{20}{3} = 0$

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Solution

$3 x^{2} - 4 x + \frac{20}{3} = 0 We will apply discriminant rule, x = \frac{- b \pm \sqrt{D}}{2 a} . . . (A) w h e r e D = b^{2} - 4 a c = (- 4)^{2} - 4 (3) (\frac{20}{3}) = 16 - 80 = - 64 f r o m (A) x = \frac{- (- 4) \pm \sqrt{- 64}}{2 (3)} = \frac{4 \pm i 8}{6} = \frac{2}{3} \pm \frac{4 i}{3} T h u s, ∴ x = \frac{2}{3} \pm \frac{4 i}{3}$

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