document.write( "Question 6512: May someone help me understand this problem. I have looked in my testbook and I can not find an example that can help me solve this problem.\r
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\n" ); document.write( "\n" ); document.write( "Solve the following sysstem of equations by graphing:
\n" ); document.write( "y = x^2 - 4 and y = x - 2.\r
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\n" ); document.write( "\n" ); document.write( "Angie \n" ); document.write( "
Algebra.Com's Answer #3523 by ichudov(507)\"\" \"About 
You can put this solution on YOUR website!
\"graph%28+500%2C+400%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E2-4%2C+x-2+%29+\"\r
\n" ); document.write( "\n" ); document.write( "the graphs intersect in points where x and y values are the same for both functions. So we can write\r
\n" ); document.write( "\n" ); document.write( "x^2-4=x-2\r
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Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:

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  • This is an equation! Solutions: x=2,x=-1.
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  • Graphical form: Equation \"x%5E2-4=x-2\" was fully solved.
  • Text form: x^2-4=x-2 simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+x%5E2-4=x-2+%29\"
    For tutors: simplify_cartoon( x^2-4=x-2 )
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  • If you have a website, here's a link to this solution.
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DETAILED EXPLANATION

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Look at \"x%5E2-4=highlight_red%28+x-2+%29\".
Moved these terms to the left \"highlight_green%28+-x+%29\",\"highlight_green%28+2+%29\"
It becomes \"x%5E2-4-highlight_green%28+x+%29%2Bhighlight_green%28+2+%29=0\".
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Look at \"x%5E2-highlight_red%28+4+%29-x%2Bhighlight_red%28+2+%29=0\".
Added fractions or integers together
It becomes \"x%5E2%2Bhighlight_green%28+-2+%29-x=0\".
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Look at \"x%5E2%2Bhighlight_red%28+-2+%29-x=0\".
Moved \"-2\" to the right of expression
It becomes \"x%5E2-x%2Bhighlight_green%28+-2+%29=0\".
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Look at \"x%5E2-x%2Bhighlight_red%28+-2+%29=0\".
Removed extra sign in front of \"-2\"
It becomes \"x%5E2-x-highlight_green%28+2+%29=0\".
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Look at \"highlight_red%28+x%5E2-x-2+%29=0\".
Equation \"highlight_red%28+x%5E2-x-2=0+%29\" is a quadratic equation: x^2-x-2 =0, and has solutions 2,-1
It becomes \"highlight_green%28+0+%29=0\".
Result: \"0=0\"
\n" ); document.write( "This is an equation! Solutions: x=2,x=-1.

Universal Simplifier and Solver

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Done!
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