SOLUTION: 3(x-6)^2+x^2=x(x+72)-48x

Question 215001: 3(x-6)^2+x^2=x(x+72)-48x
Found 2 solutions by jim_thompson5910, drj:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

FOIL

Distribute

Get every term to the left side.

Combine like terms.

Notice that the quadratic is in the form of where , , and

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

Start with the quadratic formula

Plug in , , and

Negate to get .

Square to get .

Multiply to get

Subtract from to get

Multiply and to get .

Take the square root of to get .

or Break up the expression.

or Combine like terms.

or Simplify.

So the solutions are or
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!

Step 1. Multiply and add to simplify equations

Step 2. Subtract

Step 3. Solve using the quadratic equation given below as

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=2304 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 18, 2. Here's your graph:

Step 4. The solutions are 2 and 18.

I hope the above steps were helpful.

For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J

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