How To Solve Quadratic Equations Using The Quadratic Formula | Summary and Q&A

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November 21, 2019
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The Organic Chemistry Tutor
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How To Solve Quadratic Equations Using The Quadratic Formula

TL;DR

Learn how to solve quadratic equations by using the quadratic formula.

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Key Insights

  • ❎ The quadratic formula is derived from completing the square to solve quadratic equations.
  • ➕ The plus and minus sign in the quadratic formula gives two possible solutions for the quadratic equation.
  • 😃 The values of a, b, and c can be found by comparing the coefficients in the quadratic equation.
  • 😃 The quadratic formula allows for the solution of quadratic equations with any values of a, b, and c.
  • 😑 Finding the solutions of a quadratic equation involves simplifying expressions and applying basic algebraic operations.
  • 😑 The solution of a quadratic equation can be expressed as fractions or decimal numbers.
  • 🧑‍🏭 The quadratic formula is a universal method for solving quadratic equations that cannot be easily factored.

Transcript

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Questions & Answers

Q: What is the quadratic formula used for?

The quadratic formula is used to find the solutions of quadratic equations, where the equation is in the form ax^2 + bx + c = 0.

Q: How do you determine the values of a, b, and c?

In the quadratic equation format, a is the coefficient of x^2, b is the coefficient of x, and c is the constant term.

Q: How do you solve quadratic equations with the quadratic formula?

To solve a quadratic equation, substitute the values of a, b, and c into the quadratic formula and simplify the expression. Then, calculate the values of x by using the plus and minus sign.

Q: How can you check the solution obtained using the quadratic formula?

You can check the solution by substituting the calculated values of x back into the original equation. If the equation holds true, the solution is correct.

Summary & Key Takeaways

  • The video explains how to solve quadratic equations using the quadratic formula.

  • The quadratic formula is x = (-b ± √(b^2 - 4ac)) / (2a).

  • By substituting the values of a, b, and c from the equation, the formula can be used to find the values of x.

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