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Check whether the equation 6x^2 – 7x + 2 = 0 has real roots, and if it has, find them by the method of completing the squares.

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Check whether the equation 6x2 – 7x + 2 = 0 has real roots, and if it has, find them by the method of completing the squares.

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The discriminant = b2 – 4ac = 49 – 4 × 6 × 2 = 1 > 0 So, the given equation has two distinct real roots.

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