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NFMZombie
14.09.2019 •
Mathematics
Solve for x: x² - 14x + 49/x² - 49 = 3/17
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Ответ:
x = 10
Step-by-step explanation:
Begin by factorising the numerator/ denominator of the left side
x² - 14x + 49 = (x - 7)² ← perfect square
x² - 49 = (x - 7)(x + 7) ← difference of squares
Thus left side becomes
Cancel (x - 7) on numerator/denominator, leaving
Returning to the equation, that is
17(x - 7) = 3(x + 7) ← distribute both sides
17x - 119 = 3x + 21 ( subtract 3x from both sides )
14x - 119 = 21 ( add 119 to both sides )
14x = 140 ( divide both sides by 14 )
x = 10
Ответ: