The rational equation where x = 7 is a solution is R(x) = (x + 2)(x - 7)/(x + 2).
What is a rational equation?
A rational equation R(x) is P(x)/Q(x) where both P(x) and Q(x) are polynomials and Q(x) is ≠ 0.
Let P(x) is (x + 2)(x - 7) and Q(x) is (x + 2).
∴ R(x) = P(x)/Q(x).
= (x + 2)(x - 7)/(x + 2).
= (x - 7).
= x - 7 = 0.
x = 7.
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