Solve (a+b)²x²-4abx-(a-b)²=0 by using quadratic formula
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Solution: Given: (a+b)2x2 – 4abx –(a-b)2 = 0 We have, (a + b)2 + (a - b)2 = 4ab ⇒ (a+b)2x2 – [(a + b)2 + (a - b)2]x –(a-b)2 = 0 ⇒ (a + b)2x2 – (a + b)2x + (a – b)2x – (a – b)2 = 0 ⇒ (a + b)2x(x - 1) + (a – b)2(x – 1) = 0 ⇒ (x – 1)[(a + b)2x + (a – b)2] = 0
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answer for the given problem is given
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