1.

Find the zeros of the quadratic equation 3x2 + 2√2 x - 2 = 0.

Answer»

3x2 + 2√2 x - 2 = 0

⇒ 3x2 + 3√2 x - √2x - 2 = 0

⇒ 3x(x + √2) - √2(x + √2) = 0

⇒ (3x - √2) (x + √2) = 0

⇒ x + √2 = 0 or 3x - √2 = 0

⇒ x = -√2 or x = √2/3.

Hence, -√2 and √2/3 are zeros of the quadratic equation 3x2 + 2√2 x - 2 = 0



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