JAMB CBT Mobile App 2024 - Free Download
JAMB 2024 Whatsapp Group - Join us here

2009 WAEC Mathematics Theory (a) Simplify \(\frac{x + 2}{x - 2} - \frac{x + 3}{x - 1}\) (b) The...

Mathematics
WAEC 2009

(a) Simplify \(\frac{x + 2}{x - 2} - \frac{x + 3}{x - 1}\)

(b) The graph of the equation \(y = Ax^{2} + Bx + C\) passes through the point (0, 0), (1, 4) and (2, 10). Find the : 

(i) value of C ; (ii) values of A and B ; (iii) co-ordinates of the other point where the graph cuts the x- axis.

JAMB CBT 2024 - Candidates, Schools, Centres, Resellers - Get Ready!
JAMB CBT Software 2024 - Free Download
JAMB CBT Mobile App 2024 - Free Download
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
JAMB 2024 Whatsapp Group - Join us here
Explanation

(a) \(\frac{x + 2}{x - 2} - \frac{x + 3}{x - 1}\)

= \(\frac{(x - 1)(x + 2) - (x - 2)(x + 3)}{(x - 2)(x - 1)}\)

= \(\frac{x^{2} + 2x - x - 2 - (x^{2} + 3x - 2x - 6)}{(x - 2)(x - 1)}\)

= \(\frac{x^{2} - x^{2} + x - x - 2 + 6}{(x - 2)(x - 1)}\)

= \(\frac{4}{(x - 2)(x - 1)}\)

(b) 

(1, 4) and (2, 10) are supposed roots of the equation

When x = 1, equation becomes \(A(1)^{2} + B(1) = 4\)

When x = 2, \(A(2^{2}) + B(2) = 10\)

\(\implies A + B = 4 ...... (1)\)

\(4A + 2B = 10 ....... (2)\)

Solving for A and B, we have

A = 1 and B = 3.

(iii) \(y = x^{2} + 3x\)

\(y = x(x + 3)\)

x = 0 or x = 3.

 


Report an Error Ask A Question Download App
JAMB CBT 2024 - Candidates, Schools, Centres, Resellers - Get Ready!
JAMB CBT Software 2024 - Free Download
JAMB CBT Mobile App 2024 - Free Download
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
JAMB 2024 Whatsapp Group - Join us here

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 2024 Whatsapp Group - Join us here
JAMB CBT Software 2024 - Free Download
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
JAMB CBT 2024 - Candidates, Schools, Centres, Resellers - Get Ready!
JAMB CBT Mobile App 2024 - Free Download
JAMB CBT Software 2024 - Free Download
JAMB CBT 2024 - Candidates, Schools, Centres, Resellers - Get Ready!
JAMB 2024 Whatsapp Group - Join us here
JAMB CBT Mobile App 2024 - Free Download