SOLUTION: Please show me how to solve a quadratic equation using the quadratic formula. Can you please provide an example of a quadratic equation and show how you solved it? I am struggling

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Please show me how to solve a quadratic equation using the quadratic formula. Can you please provide an example of a quadratic equation and show how you solved it? I am struggling       Log On


   



Question 322195: Please show me how to solve a quadratic equation using the quadratic formula. Can you please provide an example of a quadratic equation and show how you solved it? I am struggling with this topic.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The general solution of a quadratic equation in standard form, namely is:



Example:



Here, , , and



Therefore, or

Example 2:



Here, , , and



Therefore, or

Example 3:



Here, , , and



Therefore, or

Where is the imaginary number defined by

Where did it all come from?

Consider the general form of the quadratic:



Add the additive inverse of the constant term to both sides.



Multiply both sides by the reciprocal of the lead coefficient:



Divide the first degree coefficient by 2, square the result, then add that result to both sides:



Factor the perfect square LHS and combine the fractions in the RHS:



Take the square root of both sides, considering both positive and negative roots:



Add to both sides:



John