Given that (2x-1) : (x-4) = (16x+1) : (2x-1), find the possible values of x
The question tells us the ratio between two algebraic expressions is the same as the ratio between 2 other algebraic expressions. So, we can re-write the equation as (2x-1)/(x-4) = (16x+1)/(2x-1)Re-arrange and simplify to form the following quadratic 12x^2- 59x - 5 = 0Solve this quadratic through the quadratic formula (this is from a calculator paper) or factorising to get x = 1/2 or x = 5.
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