Quadratic Equations: Quadratic Formula .how to derive the general formular /almighty formular
The Quadratic Formula. The quadratic equation
has the solutions
\
Consider the general quadratic equation
with
. First divide both sides of the equation by a to get
which leads to
Next complete the square by adding
to both sides
Finally we take the square root of both sides:
or
We call this result the Quadratic Formula and normally write it
Remark. The plus-minus sign states that you have two numbers
and 
.
Example: Use the Quadratic Formula to solve
Solution. We have a=2, b= -3, and
. By the quadratic formula, the solutions are
Please go to General Conclusion to find a summary of all the cases regarding the roots of a quadratic equation.
has the solutions
\Consider the general quadratic equation
with
. First divide both sides of the equation by a to get
which leads to
Next complete the square by adding
to both sides
Finally we take the square root of both sides:
or
We call this result the Quadratic Formula and normally write it
Remark. The plus-minus sign states that you have two numbers
and .Example: Use the Quadratic Formula to solve
Solution. We have a=2, b= -3, and
. By the quadratic formula, the solutions are
Please go to General Conclusion to find a summary of all the cases regarding the roots of a quadratic equation.
Post a Comment