Solve the following quadratics $17 x^{2} - 8 x + 1 = 0$

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Solution

$17 x^{2} - 8 x + 1 = 0 We will discriminant rule, x = \frac{- b \pm \sqrt{D}}{2 a} . . . (A) w h e r e D = b^{2} - 4 a c = (- 8)^{2} - 4.17.1 = 64 - 68 = - 4 f r o m (A) x = \frac{- (- 8) \pm \sqrt{- 4}}{2.17} = \frac{8 \pm 2 i}{34} = \frac{4 \pm i}{17} ∴ x = \frac{4}{17} + \frac{i}{17}, \frac{4}{17} - \frac{i}{17}$

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