Page 142 - Algebra
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7.4. Solving Rational Equation
A rational equation is an equation comprised of two rational expressions. All the division, subtraction, addition, and subtraction rules of an equation apply to a rational equation.
Worked Example
Solve 𝑥−1 = 4𝑥 𝑥 2𝑥−3
Solution:
𝑥−1= 4𝑥 𝑥 2𝑥−3
Cross multiply to solve
(x – 1) (2x – 3) = 4x2
2x2 – 3x – 2x + 3 = 4x2
– 2x2 – 5x + 3 = 0
2x2 +5x–3=0
2x2 +6x–x–3=0
2x (x + 3) – 1(x + 3) = 0
(2x – 1 ) (x + 3) = 0
x = 1⁄2 or –3
Page 141 of 177
Algebra I & II
