9x2 -. 9(a+b)x. +. (2a2 . …
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Naveen Sharma 7 years, 2 months ago
Ans. \(9x^2 - 9(a+b)x + (2a^2 + 5ab+2b^2) = 0\)
=> \(9x^2 - 3(3a+3b)x + (2a^2 + 4ab+ab +2b^2 ) = 0\)
=> \(9x^2 - 3[(2a+b)+(a+2b)]x + (2a^2 + 4ab+ab +2b^2 ) = 0\)
=> \(9x^2 - 3[(2a+b)+(a+2b)]x + [2a(a + 2b)+b(a +2b)] = 0\)
=> \(9x^2 - 3[(2a+b)+(a+2b)]x + [(2a+b)(a +2b)] = 0\)
=> \(9x^2 - 3(2a+b)x-3(a+2b)x + (2a+b)(a +2b) = 0\)
=> \([3x-(a+2b)][3x - (2a+b)] = 0\)
=> \([3x-(a+2b)] = 0 \space \space or \space \space [3x - (2a+b)] = 0\)
=> \(3x=(a+2b) \space \space or \space \space 3x = (2a+b) \)
=> \(x= {(a+2b) \over 3} \space \space or \space \space x = {(2a+b) \over 3}\)
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