GR9 Q1-L4

• Solving quadratic equations using the quadratic formula


  1. Identify the values of a, b, and c in the equation

  2. Plug the values into the quadratic formula: x = (-b ± √(b^2 - 4ac)) / (2a)

  3. Simplify the result and identify the two solutions
• Quadratic equation


  An equation with a variable raised to the power of 2
• Solving the example quadratic equation

  1. a = 2, b = 3, c = -2

  2. Plug into formula: x = (-3 ± √(3^2 - 4(2)(-2))) / (2(2))

  3. Simplify: x = (-3 ± √(9 + 16)) / 4

  4. x = (-3 ± √25) / 4

  5. x = (-3 ± 5) / 4

  6. x = 1/2 or x = -2
• Checking the solution x = -2 by plugging back into the original equation
• Solving the new quadratic equation

  1. a = 6, b = -17, c = 12

  2. Plug into formula: x = (-(-17) ± √((-17)^2 - 4(6)(12))) / (2(6))

  3. Simplify: x = (17 ± √(289 - 288)) / 12

  4. x = (17 ± 1) / 12

  5. x = 18/12 = 3/2 or x = 16/12 = 4/3