Question

PLZ HELP ITS DUE TODAY

Answer 1

9514 1404 393

Answer:

x = {-0.44, 1.69}

Explanation:

Multiply by the denominator to eliminate the fraction.

3 = x(4x -5)

4x^2 -5x -3 = 0 . . . . . subtract 3 and put in standard form

Using the quadratic formula with a=4, b=-5, c=-3, we have the solutions as ...

`x=(-b\pm√(b^2-4ac))/(2a)=(-(-5)\pm√((-5)^2-4(4)(-3)))/(2(4))\\\\x=(5\pm√(73))/(8)\approx \{-0.443, 1.693\}`

Solutions rounded to hundredths are ...

x = -0.44

x = 1.69

_____

A graphing calculator can show the x-intercepts easily, so it works well to write the equation in the form

f(x) = 0

3/(4x -5) -x = 0