answer this...............
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Answer:
x = 2, 1/2
Step-by-step explanation:
Since the diagonals of a trapezium divide each other proportionally, we have
OA/OC = BO/OD
⇒ 3x - 1/5x - 3 = 2x + 1/6x - 5
⇒ (3x - 1)(6x - 5) = (2x + 1)(5x - 3)
⇒ 18x² - 15x - 6x + 5 = 10x² - 6x + 5x - 3
⇒ 8x² - 20x + 8 = 0
⇒ 2x² - 5x + 2 = 0
⇒ 2x² - x - 4x + 2 = 0
⇒ x(2x - 1) - 2(2x - 1) = 0
⇒ (x - 2)(2x - 1) = 0
⇒ x = 2, 1/2.
Hope it helps!
Answered by
0
3x - 1/5x - 3 = 2x + 1/6x - 5
⇒ (3x - 1)(6x - 5) = (2x + 1)(5x - 3)
⇒ 18x² - 15x - 6x + 5 = 10x² - 6x + 5x - 3
⇒ 8x² - 20x + 8 = 0
⇒ 2x² - 5x + 2 = 0
⇒ 2x² - x - 4x + 2 = 0
⇒ x(2x - 1) - 2(2x - 1) = 0
⇒ (x - 2)(2x - 1) = 0
⇒ x = 2, 1/2.
hope it helps bro
AND HOPE ITS CORRECT
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