Solve the following quadratics $21 x^{2} - 28 x + 10 = 0$

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Solution

$21 x^{2} - 28 x + 10 = 0 We will discriminant rule, x = \frac{- b \pm \sqrt{D}}{2 a} . . . (A) w h e r e D = b^{2} 4 a c = (- 28)^{2} - 4.21.10 = 784..840 = - 56 f r o m (A) x = \frac{- (- 28) \pm \sqrt{- 56}}{2.21} = \frac{28 \pm 2 \sqrt{14 i}}{42} ∴ x = \frac{2}{3} \pm \frac{\sqrt{14}}{21} i$

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