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# Algebra

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Find all values of c such that c/(c - 5) = 4/(c - 1). If you find more than one solution, then list the solutions you find separated by commas.

Feb 13, 2022

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x/(x - 5) = 4/(x- 1)       cross multiply , then solve the resulting quadratic

x( x-1)   = 4 (x-5)

x^2 -5x  +20 = 0                 Use quadratic formula to solve for x   (I changed it from 'c' to avoid confusion with the quad formula)

$$x = {-b \pm \sqrt{b^2-4ac} \over 2a}$$

Feb 14, 2022