1.

Find the roots of quadratic equation 9x2 - 3x - 2 = 0

Answer»

We write, - 3x = 3x - 6x as 9x2 \(\times\)(-2) = -18x2 = 3x \(\times\)(-6x)

∴ 9x2 - 3x - 2 = 0

⇒ 9x2 + 3x - 6x - 2 = 0

⇒ 3x(3x + 1) - 2(3x + 1) = 0

⇒ (3x + 1) (3x - 2) = 0

⇒ 3x + 1 = 0 or 3x  - 2 = 0

⇒ x = - 1/3 or x = 2/3

Hence, the roots of the given equation are - 1/3 and 2/3.



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