Question

$(2x {}^{2} - 6x) - (x - 3) = (x {}^{2} - x) + (5x - 5)$
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Answer 1

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==> (2x - 1)(x - 3) = (x + 5)(x - 1)

==> 2x² - 6x - x + 3 = x² - x + 5x - 5

==> 2x² - x² - 7x - 4x + 3 + 5 = 0

==> x² - 11x + 8 = 0

Since, The highest power of the given equation is 2, Hence, It is a quadratic equation.