The roots of the equation a2x2 - 3abx + 2b2 = 0 are

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The roots of the equation a²x² - 3abx + 2b² = 0 are

1. 2b , - b
  a a
2. 2b , b
  a a
3. - 2b , - b
  a a
4. None of these

Correct Option: B

The given quadratic equation is
a² x² - 3abx + 2b² = 0 &⇒ a² x² - 3abx + 2b² = 0
⇒ ax ( ax - 2b ) - b ( ax - 2b ) = 0
⇒ ( ax - 2b ) ( ax - b ) = 0
⇒ ax - 2b = 0 or ax - b = 0

⇒ x =	2b	or x =	b
	a		a

Thus, the two roots of the given quadratic equation are

2b	and	b
a	and	a