Dr. J's Maths.com
Where the techniques of Maths
are explained in simple terms.

Factorisation - the Quadratic formula.
Test Yourself 1.


 

Solve the following equations - when possible - using the quadratic formula.
When necessary, write your answer in the simplest surd form.

 

REMEMBER: always write out the values for the coefficients TOGETHER with their signs
and always use brackets to enter the values in your calculator!!!

3 term monics. 1. x2 + 10x + 9 = 0 2. z2 - 3z - 10 = 0
  3. x2 - x - 12 = 0 4. a2 + 20a + 100 = 0
  5. y2 + 5y +7 = 0 6. x2 - 8x + 1 = 0
3 term non-monics. 7. 3x2 + 7x + 2 = 0 8. 8x2 - 14x + 3 = 0
  9. 5d2 - 9d + 2 = 0 10. 3x2 - 6x + 8 = 0
  11. 2c2 - 9c + 8 = 0 12. 6x2 = x - 3
2 term quadratics. 13. x2 + 5 = 0 14. b2 + 7b = 0
  15. x(x - 4) = 0 16. m2 - 12 = 0
Other formats. 17. x2 - 2x + 1 = 3x + 6. 18.
  19. 2x2 = 7x - 2 20.
  21. 22.