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What are the 5 different way to solve the quadratic equations

User Alex Yepes
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2 Answers

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17 votes

Explanation:

A quadratic equation is a equation with a degree of 2. Below are the 5 ways to solve a quadratic equation.

  • Factoring - First, make sure that one side of the equation is 0. Turn the equation into a product of two binomials and set each one to 0. Solve both to get both solutions.
  • Completing the Square - Add to both sides such that one side becomes a square of a binomial. Square root both sides and solve with algebra.
  • Square Roots - If one side of the equation is a perfect square, square root both sides and solve normally.
  • Graphing - Make one side of the equation 0 and graph. The x-intercepts are the solutions.
  • Quadratic Formula - First, make the equation follow the form
    ax^2+bx+c=0. Then, use the formula
    x=(-b\pm√(b^2-4ac))/(2a) to get the solutions.
User Acsrujan
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10 votes
10 votes
  1. Factoring
  2. Completing the Square
  3. Quadratic Formula
  4. Graphing
  5. Extracting the roots
User Yo Chauhan
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2.8k points