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solve the equation, check for extraneous solutions x-10= √9x please explain each step with words:)

Sagot :

x-10 = root 9x | Square both sides | (x-10)squared = 9x | Expand | (X-10) (x-10) = 9x | xsquared -10x -10x +100 =9x | Simplify | x squared -20x + 100 = 9x | -9x from both sides | X squared -29x +100 = 0 | Factorise | (x - 25) (x - 4) = 0 | x = 25 or x = 4
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