English | Español

Try our Free Online Math Solver!

Online Math Solver

 

 

 

 

 

 

 

 
 
 
 
 
 
 
 
 

 

 

 
 
 
 
 
 
 
 
 

Please use this form if you would like
to have this math solver on your website,
free of charge.


Solving equations by the quadratic formula

In 8.1, we discussed the quadratic formula as a method of solving quadratic equations. It can be
used on any quadratic equation . The quadratic formula is actually a derivation of completing the
square and its final form looks like this :

Ex. 1
Solve by using the quadratic formula:

*You might want to start off by reminding yourself what a,
b, and c stand for: Now put those into
the quadratic formula :
Work under the radical first and be sure to use the order of
operations : . Keep working under
the radical: Simplify the radical if
possible and calculate the answers :

*Before starting this problem, put the equation in
descending
order and set the equation equal to zero :
Now use the quadratic formula :
Again, work under the
radical and use the order of operations to get :
We can’t take the square root of 8
evenly
and remember that the square root of a negative
number is imaginary so we’ll simplify it this way:

Prev Next