If √(x2 + 10x + 25) + √(x2 – 6x + 9) = 10 , find the value of x .
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Correct answer: C
Explanation
√(x² + 10x + 25) + √(x² − 6x + 9) = 10
√(x + 5)² + √(x − 3)² = 10
⇒ (x + 5) + (x − 3) = 10
⇒ 2x + 2 = 10
⇒ 2x = 8
⇒ x = 4
SSC Selection Post 2025 PYQ — Question 32
SSC Selection Post - Higher Secondary Level - 26th July 2025 - Shift 2 • Quantitative Aptitude • Q32