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Question
Solve the following equation:
(x – 5)2 – (x + 2)2 = -2
Solution
(x – 5)2 – (x + 2)2 = -2
⇒ (x2 - 10x + 25) - (x2 + 4x + 4) = -2
⇒ x2 - 10x + 25 - x2 - 4x - 4 = -2
⇒ -10x - 4x + 25 - 4 = -2
⇒ -14x = 4 - 2 - 25 = -23
⇒ x = `(-23)/(-14) = 23/14 = 1 9/14`
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