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Question
Solve the following equation by factorisation method:
9x2 − 64 = 0
Sum
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Solution
Given:
9x2 − 64 = 0
a2 − b2 = (a − b) (a + b)
9x2 − 64
= (3x)2 − 82
(3x − 8) (3x + 8) = 0
3x − 8 = 0
⇒ x = `8/3`
3x + 8 = 0
⇒ x = −`8/3`
`x = 8/3 or x = -8/3`
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