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THE QUADRATIC FORMULA

Learn about the quadratic formula, how it is used to solve quadratic equations, and concrete examples to help you grasp its application. Discover the standard form and see how to apply the formula step by step to find solutions efficiently.

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THE QUADRATIC FORMULA

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  1. THE QUADRATIC FORMULA

  2. WHAT IS IT FOR? The quadratic formula is used to solve quadratic equations. What is a quadratic equation? What does it mean to solve? BACK

  3. QUADRATIC EQUATIONS • To use the quadratic formula the equations must be in descending order equal to zero (aka Standard Form). • All quadratic equations can be written in this form where: a, b, and c are constants and “a” cannot be zero. BACK

  4. OTHER EXAMPLES Here are some more examples of quadratic equations: Notice in the last one that there is no c term. This is not a mistake. Notice also that all quadratic equations have a squared variable. BACK

  5. USING THE QUADRATIC FORMULA TO SOLVE Remember the quadratic formula shown earlier. BACK

  6. USING THE FORMULA Look at the quadratic equation below and compare it to the standard form of a quadratic equation. BACK

  7. USING THE FORMULA Simply list your a, b, and c values from your quadratic equation and plug them into the quadratic formula. a=1(if there is no number before x2, assume a = 1). b=5 c=6 BACK

  8. USING THE FORMULA a=1 b=5 c=6 BACK

  9. USING THE FORMULA a=1 b=5 c=6 Replace a, b, and c in the formula and look what you have. BACK

  10. USING THE FORMULA BACK

  11. USING THE FORMULA BACK

  12. Your Turn

  13. QuadraticFormula 0 = 2y2 + 4y - 1 a = 2 b = 4 c = -1 -4, 2, and 4 are all three divisible by two and therefore can be reduced.

  14. Since there is no real number that is the square root of a negative number, this equation has no real roots. No Real Roots

  15. THE QUADRATIC FORMULA

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