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πŸ“° This is a difference of squares: $ a^2 - b^2 = (a - b)(a + b) $, with $ a = 3x - 5y $, $ b = 4z $. πŸ“° The fully factored form is $ oxed{(3x - 5y - 4z)(3x - 5y + 4z)} $.Question: Compute the sum of the roots of the equation $ u^{3/2} - 4u + 3\sqrt{u} = 0 $, given that all roots are non-negative real numbers. πŸ“° Solution: Let $ v = \sqrt{u} $, so $ u = v^2 $. Substituting into the equation gives $ v^3 - 4v^2 + 3v = 0 $. Factoring yields $ v(v^2 - 4v + 3) = 0 $, which simplifies to $ v(v-1)(v-3) = 0 $. Thus, $ v = 0, 1, 3 $, corresponding to $ u = 0, 1, 9 $. The sum of the roots is $ 0 + 1 + 9 = 10 $. oxed{10} πŸ“° What Time Do Stock Markets Open πŸ“° Report Reveals Free Budget Templates And It Raises Concerns πŸ“° Lamp Up Your Joy Exclusive Diwali 2025 Tips For Maximum Happiness This Festival 4863050 πŸ“° Delta Yahoo Finance πŸ“° Remaining Charge 64 Times Leftfrac12Right3 64 Times Frac18 8 Ah 2510962 πŸ“° Open Account Online 7792501 πŸ“° Sql Server Studio Express 3807280 πŸ“° Compare Creditcards 3328989 πŸ“° Roblox Be Crushed By A Speeding Wall πŸ“° Is This The Best Yahoo Finance Mutual Funds To Boost Your Portfolio Fast 415882 πŸ“° Metaphor Refantazio Endings πŸ“° Game Share On Steam πŸ“° Archer Random Shock These Hidden Skills Will Blow Your Mind 2789725 πŸ“° Nerdwallet Credit Card Offers πŸ“° Breaking Meta Stock Shifts Markets Will You Miss Out Or Join The Rally 9492917