SOLUTION: please help me solve this equation x^2 +6x =2

Question 134865This question is from textbook algebra 2
: please help me solve this equation x^2 +6x =2 This question is from textbook algebra 2

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

You can either complete the square or use the quadratic formula (which is nothing more than completing the square in general terms).

Complete the square solution:

The first step is to divide both sides of the equation by the coefficient on the term, but since that coefficient is 1, we can skip this step.

The second step is to divide the coefficient on the term by 2 and square the result:

Step 3: Add the result of step 2 to both sides of the equation

Step 4: You now have a perfect square trinomial on the left, so factor it:

Step 5: Take the square root of both sides of the equation, remembering to consider both positive and negative roots:

or

Step 6: Simplify both resulting equations:

or

And that is all there is.
============================================
Quadratic Formula Solution:

First put your equation into standard form by adding -2 to both sides:

where a is the coefficient on the term, b is the coefficient on the term, and c is the constant term, so:

or

or

Not surprisingly (I sincerely hope), we got the same answers.
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