WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 127076
JAMB CBT 2025 - Candidates, Schools, Centres, Resellers - Get Ready!

\(\sqrt{x}\) - \(\frac{6}{\sqrt{x}}\) = 1, find the value of x

Further Mathematics
WAEC 2024

\(\sqrt{x}\) - \(\frac{6}{\sqrt{x}}\) = 1, find the value of x

  • A. 36
  • B. 16
  • C. 9
  • D. 25
JAMB CBT Software 2025 - Free Download
JAMB CBT 2025 - Candidates, Schools, Centres, Resellers - Get Ready!
JAMB CBT Mobile App 2025 - Free Download
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 127076
Correct Answer: Option C
Explanation

\(\sqrt{x}\) - \(\frac{6}{\sqrt{x}}\) = 1

Multiply through by \(\sqrt{x}\)

x - 6 = \(\sqrt{x}\)

x - \(\sqrt{x}\) = 6

let \(\sqrt{x}\) = q, then x = q\(^2\)

q\(^2\) - q - 6 = 0

q\(^2\) - 3q + 2q - 6 = 0

q(q - 3) + 2(q - 3) = 0

(q - 3)(q + 2) = 0

q = 3 or -2

but x =  q\(^2\), meaning, x = 9 or 4.

 


Report an Error Ask A Question Download App
JAMB CBT Software 2025 - Free Download
JAMB CBT 2025 - Candidates, Schools, Centres, Resellers - Get Ready!
JAMB CBT Mobile App 2025 - Free Download
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 127076

Contributions ({{ comment_count }})

Please wait...

{{ settings.no_comment_msg ? settings.no_comment_msg : 'There are no comments' }}

Quick Questions

Post your Contribution

Please don't post or ask to join a "Group" or "Whatsapp Group" as a comment. It will be deleted. To join or start a group, please click here

{{ quote.posted_by.display_name }}
{{ settings.form_textarea_description }}
 
JAMB CBT 2025 - Candidates, Schools, Centres, Resellers - Get Ready!
JAMB CBT Mobile App 2025 - Free Download
JAMB CBT Software 2025 - Free Download
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 127076
JAMB CBT Mobile App 2025 - Free Download
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 127076
JAMB CBT Software 2025 - Free Download
JAMB CBT 2025 - Candidates, Schools, Centres, Resellers - Get Ready!