Without solving, comment upon the nature of roots of the following equation :

7x² - 9x + 2 = 0

Comparing 7x² - 9x + 2 = 0 with ax² + bx + c = 0 we get,

a = 7, b = -9 and c = 2.

We know that,

Discriminant = D = b² - 4ac = (-9)² - 4(7)(2)

= 81 - 56 = 25; which is positive.

Since, a, b and c are real numbers; a ≠ 0 and b² - 4ac > 0

∴ The roots are real and unequal.