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• Quadratic equation


  An equation of the form ax² + bx + c = 0, where a, b, and c are real numbers and a ≠ 0
• Quadratic equations


  • x²+ 5x + 4 = 0
  • 8x - 3x²- 9 = 0
  • x³ - 7 = 0
  • 4x + 6 = 10
• Quadratic term


  The term with the highest exponent, which is x²
• The equation 5x^2 - 7x - 6 = 0 has a quadratic term of 5x^2
• Quadratic formula


  x = -b ± √b² - 4ac

  2a read as: x is equal to negative b, positive or negative b squared minus 4ac over 2a
• To solve a quadratic equation using the quadratic formula, you must first identify the values of a, b, and c
• Quadratic equations that can be solved by extracting the square root

  • x^2 + 5x + 6 = 0
  • x^2 - 4x - 5 = 0
  • (x + 1)^2 = 9
  • x^2 + 25x = 0
• Steps to solve a quadratic equation using the quadratic formula


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

  2. Substitute the values into the formula
• Zero Product Property


  If the product of two numbers is zero, then either of the two is equal to zero or both numbers are equal to zero
• Addition Property of Equality


  Adding the same number to both sides of an equation does not change the equality of the equation
• The quadratic equation x² - 25 = 0 has 0 solutions
• The quadratic equation (5x - 3)^2 = 49 has the roots/solutions 2 and -2
• The quadratic equation x^2 - x - 2 = 0 has the factors (x - 1)(x + 2) = 0
• To make the expression x^2 + 10x + 16 a perfect square trinomial, you must add 25
• If one of the roots of the quadratic equation x^2 + x - 30 = 0 is -6, the other root is 5
• The quadratic equation 6x^2 - 25 - 14 = 0 cannot be solved by factoring
• The quadratic equation x^2 + 6x = 16 has the roots/solutions x = 4 and x = -4
• The quadratic equation 4x^2 + 10x - 6 = 0 has the roots 1/2 and -3/2
• Which of the following is a quadratic equation? x²+ 5x + 4 = 0 8x - 3x²- 9 = 0 x³ - 7 = 0 4x + 6 = 10

  x²+ 5x + 4 = 0