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WAEC Further Mathematics 2017 Paper

Question : 4

Total: 40

x^{2} - kx + 9 = 0

has equal roots, find the values of k.

Solution:

For equal roots, we have that $b^{2} = 4ac$ , so, given a=1, b = -k and c = 9,

$(-k)^{2} = 4 \times 1 \times 9 \implies k^{2} = 36$

$k = \sqrt{36} = \pm 6$

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