Quadratic Equations

• Discriminant formula

  
• Quadratic formula

  
• Extracting square roots method

  
• Factoring method

  
• Completing the square method

  
• Sum formula

  
• Product formula

  
• Case 1 - real, unequal, rational
• Case 2 - real, unequal, irrational
• Case 3 - real, equal
• Case 4 - imaginary, unequal
• D = 28. Therefore, the graph touches the x-axis 2 times
• D = 94. Therefore, the graph touches the x-axis 2 times
• D = 0. Therefore, the graph touches the x-axis only once
• D = -36. Therefore, the graph doesn't touch the x-axis
• D = -2. Therefore, the graph doesn't touch the x-axis
• $x^2 - (sum)x +$$(product)=$$0$


  Formula in writing a quadratic equation whose roots are given