Question

Solve by 'quadratic formula' or 'completion of square'

10. 3a^2x^2 - abx - 2b^2 = 0

Ans: b / a , - 2b / 3a

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Answer 1

Hey!!!!

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We have

=> 3a²x² - abx - 2b² = 0

Divide both sides by 3a²

=> x² - bx/3a - 2b²/3a² = 0

=> x² - bx/3a = 2b²/3a²

Add (b/6a)² on both sides

=> x² - bx/3a + (b/6a)² = 2b²/3a² + b²/36a²

=> (x - b/6a)² = 25b²/36a²

=> x - b/6a = + - 5b/6a

Thus

=> x - b/6a = 5b/6a or x - b/6a = - 5b/6a

=> x = b/a or x = - 2b/3a <<<< Answer

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Hope this helps ✌️

Good Night :-)