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Solve the following quadratics 5x2 – 6x + 2 = 0

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Given 5x2 – 6x + 2 = 0 

Recall that the roots of quadratic equation ax2 + bx + c = 0, where a ≠ 0, are given by

We have i2 = –1

By substituting –1 = i2 in the above equation, we get

Thus, the roots of the given equation are \(\frac{3}{5} ± \frac{1}{5}i\) 

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