Quadratic Equations (Cambridge (CIE) IGCSE Maths: Extended)

i) Write  in the form .  

[2]

ii) Use your answer to part (i) to solve the equation .  

................... or ................... [2]

Solve by factorisation .    

= ................... or = ................... 

 
Find the value of  and the value of .  

= ...............................................
= ...............................................

The solutions of the equation  are  and   
Find the value of  and the value of .  

................................................  

................................................  

  The difference between the areas of the two rectangles is 62 cm².

i) Show that   

[3]

ii) Factorise   

[2]

iii) Solve the equation  to find the difference between the perimeters of the two rectangles.  

.............................................. cm [2]

The lengths of the sides are in centimetres.
The area of triangle T₁ is equal to the area of triangle T₂.
Work out the value of x, giving your answer in the form where a and b are integers.