Unit 3, Lesson 6
Rational Equations (Part 2)
Algebra 2
Practice
Problem 1
Solve \(x-1 = \dfrac{x^2 - 4x + 3}{x+2}\) for \(x\).
Problem 2
Solve \(\displaystyle\frac{4}{4-x} = \frac{5}{4+x}\) for \(x\).
Problem 3
Show that the equation \(\frac{1}{60} = \frac{2x+50}{x(x+50)}\) is equivalent to \(x^2 - 70x - 3,\!000 = 0\) for all values of \(x\) not equal to 0 or -50. Explain each step as you rewrite the original equation.