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) (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

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