Example of factorable quadratic equation, Algebra

Assignment Help:

Complete the square on each of the following.

                      x2  -16x

Solution

                          x2 -16x

Here's the number which we'll insert to the equation.

                       ( -16 /2  ) = (-8)2  = 64

Notice that we put the minus sign here although it will always drop out after we square things. The cause for this will be clear in a second.  Now let's complete the square.

                                             x2 -16 x + 64 =( x - 8)2

Now, it is a quadratic hopefully that you can factor fairly rapidly.  Though notice that this will always factor as x plus the blue number we calculated above i.e. in the parenthesis (in our case i.e. -8).  This is the cause for leaving the minus sign.  It ensures that we don't commit any mistakes in the factoring procedure.


Related Discussions:- Example of factorable quadratic equation

Hyperbolas, Find the standard form equation for... 4x^2-y^2+24x+4y+28=0

Find the standard form equation for... 4x^2-y^2+24x+4y+28=0

Math, 4(3x-2) -5(x+1)=6-(4x-3)

4(3x-2) -5(x+1)=6-(4x-3)

Remainder and Factor Theorems, I have a homework question to use the factor...

I have a homework question to use the factor theorem that I need to use Synthetic Substitution with. I did all the work and the divisor is a factor but the equation I have to use t

Lenare eqation, A police academy is training 14 new recruits. Some are work...

A police academy is training 14 new recruits. Some are working dogs and others are police officers. There are 38 legs in all. How many of each type of recruits are there?

Example of equations with more than one variable, y = 4 - 3x /1 + 8x for x....

y = 4 - 3x /1 + 8x for x. Solution This one is very alike to the previous instance.  Here is the work for this problem. y + 8xy = 4 - 3x 8xy + 3x = 4 - y X(8 y +3)

Simultaneous linear equations, solve simultaneous equations by drawing grap...

solve simultaneous equations by drawing graphs 3x+4Y=5 2X-Y=3

Iris, An object 4.8 feet tall casts a shadow that is 14.4 feet long. How lo...

An object 4.8 feet tall casts a shadow that is 14.4 feet long. How long in feet would the shadow be for an object which is 13.2 feet tall?

College Algebra Test Quesion, An inlet pipe can fill a large water tank in ...

An inlet pipe can fill a large water tank in 4 hours. Another inlet pipe can fill the same water tank in 5 hours. Given an empty water tank, at 8:00 AM, activate both pipes. What t

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd