# How do you simplify the quadratic formula?

##### 1 Answer

Dec 27, 2017

#### Answer:

A few thoughts...

#### Explanation:

If you are wanting simpler versions of the quadratic formula, then here are a few thoughts...

Given a quadratic equation of the form:

#ax^2+bx+c = 0#

the roots are given by the quadratic formula:

#x = (-b+-sqrt(b^2-4ac))/(2a)#

Note that if

We can incorporate this simplification into a simplified quadratic formula for the equation:

#ax^2+2dx+c = 0#

namely:

#x = (-d+-sqrt(d^2-ac))/a#

Further note that if (as is commonly the case)

#x^2+2dx+c=0#

are:

#x = -d+-sqrt(d^2-c)#