Worksheet on solving quadratic equations by splitting the middle term

(Answers are below the questions)


Questions:

1. a² + 6a + 8 = 0
2. 10x² + 3x - 4 = 0
3. Find the value of (x  +4y) : (x + 4y)² + (x + 4y) - 90 = 0
4. a² + 2a/3 + 1/9 = 0
5. 12c² - c - 6 = 0
6. √2x² + x - √2 = 0
7. x² - 5x + 6 = 0
8. 
   
   
   
   
   
9.  
   
    
10.  
    

Answers:

1. a = {-4, -2}
2. x = {-4/5, 1/2}
3. (x + 4y) = {9, -10}
4. a = -1/3
5. c = {-2/3, 3/4}
6. x = {1/√2 , -√2}
7. x = {2, 3}
8. x = {-14, 14}
9. x = {-4/3, 2}
10. x = {-17/2, 3}