find the value of x
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Here, we have
⇒ (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
By using factorization method, we get
⇒ 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 or x - 133/33 =
⇒ x = 98/33, 133/33
Hence, x = x = 98/33, 133/33.
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