Find the values of y for which the expression \(\frac{y^2 - 9y + 18}{y^2 +
MATHEMATICS
WAEC 2016
Find the values of y for which the expression \(\frac{y^2 - 9y + 18}{y^2 + 4y - 21}\) is undefined
- A. 6, -7
- B. 3, -6
- C. 3, -7
- D. -3, -7
Correct Answer: C. 3, -7
Explanation
\(\frac{y^2 - 9y + 18}{y^2 + 4y - 21}\)
Factorize the denominator;
Y2 + 7y - 3y - 21
= y(y + 7) -3 (y + 7)
= (y - 3)(y + 7)
Hence the expression \(\frac{y^2 - 9y + 18}{y^2 + 4y - 21}\) is undefined
when y2 + 4y - 21 = 0
ie. y = 3 or -7
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