SOLUTION: Use the quadratic formula to solve the equation., x^2-x=-2 Thank you!

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Question 224805: Use the quadratic formula to solve the equation.,
x^2-x=-2
Thank you!
Found 2 solutions by checkley77, drj:
Answer by checkley77(12844)   (Show Source): You can put this solution on YOUR website!
x^2-x=-2
x^2-x-2=0

x=(1+-sqrt[-1^2-4*1*-2])/2*1
x=(1+-sqrt[1+8])/2
x=(1+-sqrt9)/2
x=(1+-3)/2
x=(1+3)/2
x=4/2
x=2 ans.
x=(1-3)/2
x=-2/2
x=-1 ans.

Answer by drj(1380)   (Show Source): You can put this solution on YOUR website!
Use the quadratic formula to solve the equation.



Step 1. Put the equation in proper form as follows:

Add 2 to both sides of the equation to get




Step 2. The quadratic formula is given as



where a=1, b=-1, and c=2.

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 : .

The discriminant -7 is less than zero. That means that there are no solutions among real numbers.

If you are a student of advanced school algebra and are aware about imaginary numbers, read on.


In the field of imaginary numbers, the square root of -7 is + or - .

The solution is

Here's your graph:



For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Good luck in your studies!

Respectfully,
Dr J

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