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WAEC Further Mathematics 2010 Paper

Question : 10

Total: 40

\frac{x^{2} - 9x + 18}{x^{2} + 2x - 35}

undefined?

Solution:

An fraction is undefined when the denominator has value = 0.

$\frac{x^{2} - 9x + 18}{x^{2} + 2x - 35}$ is undefined when $x^{2} + 2x - 35 = 0$

$x^2 + 7x - 5x - 35 = 0 \implies (x + 7)(x - 5) = 0$

$x = \text{-7 or 5}$

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