Question

Solve for x: 3 over 4 x + 5 over 8 = 4x. . x = __________________ Write your answer as a fraction in simplest form. Use the \"/\" symbol for the fraction bar

Answer 1

`image`

`(8)3 + 20x = (8)16x^2`

`24 + 20x = 128x^2 \\ 128x^2 - 20x - 24 = 0 \\ 4(32x^2 - 5x - 6) = 0 \\ 32x^2 - 5x - 6 = 0`


`Solve\ using\ the\ formular\ \boxed{ x= { (-b \pm √(b^2 - 4ac))/(2a) } } \\ x= { (-(-5) \pm √((-5)^2 - 4(32)(-6)))/(2(32)) } \\ x= { (5 \pm √(793))/(64) } \\ x = 0.51812\ or\ x=-0.36187`


`x` cannot be written as a fraction.