using quadratic formula and solve 36x2 -- 12ax + (a2 -- b2) = 0
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Solution...............
36x² − 12ax + (a² − b²) = 0
(36x² − 12ax + a²) − b² = 0
(6x − a)² − b² = 0
(6x − a − b) (6x − a + b) = 0
x = (a+b)/6, x = (a−b)/6
1/(x+4) − 1/(x−7) = 11/30
Multiply both sides by 30(x+4)(x−7)
30(x−7) − 30(x+4) = 11(x+4)(x−7)
30x − 210 − 30x − 120 = 11 (x² − 3x − 28)
−330 = 11 (x² − 3x − 28)
−30 = x² − 3x − 28
x² − 3x + 2 = 0
(x − 1) (x −2) = 0
x = 1, x = 2
Hope it helps !!
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