SOLUTION: 1. Solve. (x + 4)^2 = 7 2. Find the constant term that should be added to make the following expression a perfect-square trinomial. x^2 + 7x 3.Graph the following equation:

Question 110812: 1. Solve. (x + 4)^2 = 7
2. Find the constant term that should be added to make the following expression a perfect-square trinomial.
x^2 + 7x
3.Graph the following equation:
y = �x^2 + 6x

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
#1

Start with the given equation

Take the square root of both sides

Subtract 4 from both sides to isolate x.

-----------------------------------
Answer:

So our solution is:

This means our solution breaks down to:

#2

Start with the given equation

Take half of the x coefficient 7 to get 3.5 (ie )
Now square 3.5 to get 12.25 (ie )

Add this result (12.25) to the expression. Now the expression is a perfect square trinomial.

#3

In order to graph , we need to plot some points.

We can start at any x value, so lets start at x=1

Lets evaluate

Start with the given polynomial

Plug in

Evaluate to get 1

Multiply 6 and 1 to get 6

Now combine like terms

So when ,

-------Now lets find another point-------

Lets evaluate

Start with the given polynomial

Plug in

Evaluate to get -14

Multiply 6 and 2 to get 12

Now combine like terms

So when ,

-------Now lets find another point-------

Lets evaluate

Start with the given polynomial

Plug in

Evaluate to get -19

Multiply 6 and 3 to get 18

Now combine like terms

So when ,

-------Now lets find another point-------

Lets evaluate

Start with the given polynomial

Plug in

Evaluate to get -116

Multiply 6 and 4 to get 24

Now combine like terms

So when ,

-------Now lets find another point-------

Lets evaluate

Start with the given polynomial

Plug in

Evaluate to get -125

Multiply 6 and 5 to get 30

Now combine like terms

So when ,

Now lets make a table of the values we have calculated

Now plot the points

Now connect the points to graph (note: the more points you plot, the easier it is to draw the graph)

RELATED QUESTIONS
Find the constant term that should be added to make the following expression a... (answered by checkley71)

Find the constant term that should be added to make the following expression a... (answered by psbhowmick)

Find the constant term that should be added to make the following expression a... (answered by tanjo3)

Find the constant term that should be added to make the following expression a... (answered by ewatrrr)

Find the constant term that should be added to make the following expression a... (answered by Fombitz)

Find the constant term that should be added to make the following expression a... (answered by stanbon)

Find the constant term that should be added to make the following expression a... (answered by jim_thompson5910,stanbon)

Find the constant term that should be added to make the following expression a... (answered by Fombitz)