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Question
Solve the following equation by factorisation method:
`16/x^2 - 6/x - 1 = 0, x\cancel=0`
Sum
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Solution
Given:
`16/x^2 - 6/x - 1 = 0, x\cancel=0`
Multiply the whole equation by x2 (since x ≠ 0):
16 − 6x − x2 = 0
x2 + 6x − 16 = 0
product = −16
sum = 6
These numbers are 8 and −2.
(x + 8) (x − 2) = 0
x + 8 = 0
⇒ x = −8
x − 2 = 0
⇒ x = 2
x = −8 or x = 2
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