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Quadratic Equation

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Track :

Mathematics

Lessons no : 12

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What will you learn in this course?
  • Apply factoring techniques to solve quadratic equations in standard form efficiently
  • Use the quadratic formula to find roots of quadratic equations with real and complex solutions
  • Complete the square method to solve quadratic equations and understand their geometric interpretation
  • Verify solutions by substituting roots back into the original quadratic equation for accuracy
  • Identify the nature of roots (real and distinct, real and repeated, complex) based on the discriminant
  • Graph quadratic functions to analyze vertex, axis of symmetry, and roots for real-world applications
  • Solve quadratic equations arising in physics, engineering, and finance problems practically
  • Explain the relationship between coefficients and roots to interpret quadratic models effectively

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Lessons | 12

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How do I solve quadratic equations? Solving Quadratic Equations Put all terms on one side of the equal sign, leaving zero on the other side. Factor. Set each factor equal to zero. Solve each of these equations. Check by inserting your answer in the original equation. Image result for Quadratic Equation What is Quadratic Equation? A quadratic equation is an algebraic expression of the second degree in x. The standard form of a quadratic equation is ax2 + bx + c = 0, where a, b are the coefficients, x is the variable, and c is the constant term.