Quadratic Equations Questions and Answers - Form 2 Topical Mathematics

Questions

1. In a triangle ABC, angle B is 90^o. Find the value of x and hence the area of the triangle
   
   
2. Solve the following inequalities and represent the solution on a number line hence state the integral values 7x – 4 ≤9x + 2 <3x + 14

Answers

1. (3x + 5)² + ( √611)² = ( 7x + 2)²
   (9x² + 30x + 25) + 611 = 49x² + 28x + 4
   - 40x² + 2x + 632 = 0
   20x² - x = 316 = 0
   x = ^{1 ± √2581}/₄₀
   = ¹⁶⁰/₄₀ OR x = 4
   Area = ( ½ x √611 x 17
   = 210.1cm²
2. 7x – 4 ≤9x + 2              9x + 2 <3x + 14
   -6 ≤2x                         6x <12
   2       2                           x <2
   -3≤x
   ∴ -3 ≤x ≤2
   
   Integral values are -3, -2, -1, 0 and 1