Question

What is the solution set of the following equation?

Answer 1

For the equation,here's the steps:

`(4)/(5) {x}^(2) = 2x - (4)/(5) \\ 0 = 5( - (4)/(5) {x}^(2) + 2x - (4)/(5) ) \\ 0 = - 4 {x}^(2) + 10x - 4 \\ by \: cross \: method\\ 0 = (2x - 1)(x - 2 ) \\ or \: by \: quadratic \: formula \\ x = \frac{ {10}^(2) \binom{ + }{ - } √( - 4(4)(4)) }{ - 2(4)} \\ x = 2 \: or \: (1)/(2)`

Hope it helps!