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Find the values of y for which the expression f... - WAEC Mathematics 2016 Question

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
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Correct Option: C

(\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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