Question
Download Solution PDFWhat is the number of real roots of the equation (x - 1)2 + (x - 3)2 + (x - 5)2 = 0?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
Given:
(x - 1)2 + (x - 3)2 + (x - 5)2 = 0
⇒ x2 – 2x + 1 + x2 – 6x + 9 + x2 – 10x + 25 = 0
⇒ 3x2 – 18x + 35 = 0
Now, discriminant D = (–18)2 –4 × 3 × 35
= – 96 < 0
Thus, The given equation does not have any real roots.
∴ Option (a) is correct
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