SOLUTION: Let me try this again as I did not recieve the normal confirmation page that this was sent to the wonderful tutors here. Directions from my Professor are as follows: Make sur

Question 103813This question is from textbook Intermediate Algebra
: Let me try this again as I did not recieve the normal confirmation page that this was sent to the wonderful tutors here.
Directions from my Professor are as follows:
Make sure that your work is demonstrating the solving method given in the instructions. Use the Insert and Symbols menus in Word to present the radical √ and plus/minus � symbols. Remember that radicands must be enclosed within [ ]. Typing your work vertically is preferred but optional. If you choose to type horizontally, make sure you are appropriately using grouping symbols.
On Pg: 583 of our textbook it shows the quadratic formula. But I somehow am messing up to the point I am so confused I don't know where to begin.
Here is the Problem:
Solve by using the Quadratic Formula;
x^2 - 3x = 7x - 2 Thank You! This question is from textbook Intermediate Algebra

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Get all terms to one side

Combine like terms

Solved by pluggable solver: Quadratic Formula

Let's use the quadratic formula to solve for x:

Starting with the general quadratic

the general solution using the quadratic equation is:

So lets solve ( notice , , and )

Plug in a=1, b=-10, and c=2

Negate -10 to get 10

Square -10 to get 100 (note: remember when you square -10, you must square the negative as well. This is because .)

Multiply to get

Combine like terms in the radicand (everything under the square root)

Simplify the square root (note: If you need help with simplifying the square root, check out this solver)

Multiply 2 and 1 to get 2

So now the expression breaks down into two parts

or

Now break up the fraction

or

Simplify

or

So the solutions are:

or

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