SOLUTION: x2 − x = 12

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Question 1205825: x2 − x = 12
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39614)   (Show Source): You can put this solution on YOUR website!
say exactly what help you need.

Factoring? Try this:

, two factors which differ by 1, and product is 12;



Answer by ikleyn(52756)   (Show Source): You can put this solution on YOUR website!
.

This equation is nice to solve it by factoring.


Watch my steps attentively.


Write your equation in standard form of quadratic equation

    x^2 - x - 12 = 0.


Factor left side mentally in your head

    (x-4)*(x+3)= 0.


From here, you see that there are two roots, 4 and -3.


ANSWER.  The given equation has two roots, 4 and -3.

Solved in full, with all necessary explanations.


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If you want to see many other similar and different problems on solving quadratic equations,
look into the lessons
    - Introduction into Quadratic Equations
    - PROOF of quadratic formula by completing the square
    - HOW TO complete the square - Learning by examples
    - HOW TO solve quadratic equation by completing the square - Learning by examples
    - Solving quadratic equations without quadratic formula
in this site.

You will find there many problems, solved using the quadratic formula, completing the square and factoring.

Learn the subject from there and become an expert in the area.



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