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Solution
I.$$2x^{2} - 19x + 45 = 0$$
=> $$2x^2 - 10x - 9x + 45 = 0$$
=> $$2x (x - 5) - 9 (x - 5) = 0$$
=> $$(x - 5) (2x - 9) = 0$$
=> $$x = 5 , \frac{9}{2}$$
II.$$6y^{2} - 48y + 90 = 0$$
=> $$y^2 - 8y + 15 = 0$$
=> $$y^2 - 3y - 5y + 15 = 0$$
=> $$y (y - 3) - 5 (y - 3) = 0$$
=> $$(y - 3) (y - 5) = 0$$
=> $$y = 3 , 5$$
Hence no relation can be established.
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