(x-3)(x-4)=34/33^2. solve it
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Here,
(x - 3)(x - 4) = 34/33²
x² - 7x + 12 - 34/33² = 0
x² - 7x + 13034/33² = 0
x² - 7x + 98/33 × 133/33 = 0
x² - 231/33x + 98/33 × 133/33 = 0
Now,
Factorize it,
x² - (98/33 + 133/33)x + 98/33 × 133/33 = 0
x² - 98/33x - 133/33x + 98/33 × 133/33 = 0
(x² - 98/33x) - (133/33x - 98/33 × 133/33) = 0
x(x - 98/33) - 133/33(x - 98/33) = 0
(x - 98/33)(x - 133/33) = 0
x - 98/33 = 0
x = 98/33
Or,
x - 133/33 = 0
x = 133/33
Therefore,
x = 98/33, 133/33
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