Solve the coefficient of the equation by rational method.
1 + 27 / (x 2 - 9) = 2
Sol:
Step1: This equation has a rational expression. Multiply the equation by the denominator term (x 2 – 9)
(x 2 - 9 )(1 + 27/ (x 2 – 9)) = (x 2 – 9) 2
Simplify.
(x 2 – 9)+ 27 = 2 (x 2 – 9)
Step2: Multiply factors and group like terms.
x 2 + 18 = 2 x 2 - 18
Step3: Add – (x 2 + 18) to both sides and simplify
x 2 = 36
Step4: x = -6 or +6
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Standard form math
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