Find the roots of the equation 1/x+4- 1/x-7= 1/30, x≠ -4,+7
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Step-by-step explanation:
1/x+4- 1/x-7= 1/30
x-7-x-4/(x+4)(x-7) = 1/30
-11 × 30 = (x-4)(x-7)
-330 = x²-x(4+7)-(4)(7)
-330 = x² - 11x - 28
x² -11x - 28 +330 = 0
x² -11x + 302 = 0
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