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ALGORITHMobtain the ouedraticequatio , lettlequadr''icegution he ax2 + bK4câăMake the coef aent of x unity by dividing tiroughout by il afit s not uri2c33.(x-5)(x-6)34.7x+--35 |
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Answer» Take the LCM of the denominators = (x-1)(x-2)(x-3)(x-4)Divide the LCM by the denominator of each term and multiply the result with thenumerator of the respective term. (x-3)(x-4) + (x-1)(x-4) + (x-1)(x-2)------------------------------------ = 1/6(x-1)(x-2)(x-3)(x-4) Use formula (x-a)(x-b) = x^2 - (a+b)x + ab x^2 - 7x + 12 + x^2 - 5x + 4 + x^2 - 3x + 2-------------------------------------------- = 1/6(x-1)(x-2)(x-3)(x-4) 3x^2 - 15x + 18--------------------- = 1/6(x-1)(x-2)(x-3)(x-4) 3(x^2 -5x + 6)------------------- = 1/6(x-1)(x-2)(x-3)(x-4) 3(x - 2)(x - 3)-------------------- = 1/6(x-1)(x-2)(x-3)(x-4) 3------------ = 1/6(x-1)(x-4) 18 = (x-1)(x-4)18 = x^2 - 5x + 4x^2 - 5x - 14 = 0(x - 7 )(x +2 ) = 0x = 7 OR x = -2 Like my answer if you find it useful! |
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