An algebra problem by Aquilino Madeira

Algebra Level 2

L e t f ( x ) = 2 x 1 + 1 a n d g ( x ) = 5 x S o l v e f o r t h e v a l u e o f x : ( f g ) ( x ) = 0 x = ? ? ? ? \begin{array}{l} \\ Let\quad f(x) = \sqrt {2x - 1} + 1\;and\;\\ g(x) = \sqrt {5 - x} \\ \\ Solve\;for\;the\;value\;of\;x:\\ \\ (f - g)(x) = 0 \Leftrightarrow x = ???? \end{array}


The answer is 1.

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1 solution

Terrell Bombb
Aug 6, 2016

sqrt(2x-1) +1 - sqrt(5-x) = 0 becomes 9 x 2 38 x + 29 9x^2 - 38x + 29 , use FOIL method or quadratic formula to find x.

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