Quadratic Equations/ Rs/ Exeter 4A/ Q.58
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taking LCM of above fractions in the LHS we get :
2{(3x - 4)² + 49} = 35(3x -4)
⇒ 2{9x² - 24x + 65} = 105x - 140
⇒ 18x² - 48x + 130 = 105x - 140
⇒ 18x² - 153x + 270 = 0
⇒ 6x² - 51x + 90 = 0
⇒ 6x² - 36x - 15x + 90 = 0
⇒ 6x(x - 6) - 15(x - 6) = 0
⇒ (6x - 15)(x - 6) = 0
⇒ x = 5/2 or x = 6
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Plz refer to the attachment for your answer... HOPE THIS HELPS..!!
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