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If \(\sqrt{x^2 + 9}\) = x + 1, solve for x

Mathematics
JAMB 1993

If \(\sqrt{x^2 + 9}\) = x + 1, solve for x

  • A. 5
  • B. 4
  • C. 3
  • D. 2
  • E. 1
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Correct Answer: Option B
Explanation

\(\sqrt{x^2 + 9}\) = x + 1

x\(^2\) + 9 = (x + 1)\(^2\)

0 = x\(^2\) + 2x + 1 - x\(^2\) - 9

= 2x - 8 = 0

2(x - 4) = 0

x = 4


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