Question

The difference is two numbers is 20 and their product is 56.25 times their difference. Find the LCM of the number

Answer 1

$(x) \times (x + 20) = 56.25 \\ {x}^{2} + 20x - 56.25 = 0 \\ 100 {x}^{2} + 2000x - 5625 = 0 \\ 20 {x}^{2} + 400x - 1125 = 0 \\ 4 {x}^{2} + 80x - 225 = 0 \\ 4 {x}^{2} + 90x - 10x - 225 = 0 \\ 2x(2x + 45) - 5(2x + 45) = 0 \\ (2x - 5)(2x + 45) = 0 \\ than \: the \: answer \: is \\ 2x - 5 = 0 \\ 2x = 5 \\ x = \frac{5}{2} \: \: \: \: ans$
and next step do yourself