document.write( "Question 35398: Need help fast...Please someone show me how to do this.\r
\n" ); document.write( "\n" ); document.write( "Solve X in (x-2)(x+5)=0\r
\n" ); document.write( "\n" ); document.write( "also\r
\n" ); document.write( "\n" ); document.write( "Solve Y in 16(y-3)^2=64\r
\n" ); document.write( "\n" ); document.write( "and\r
\n" ); document.write( "\n" ); document.write( "Solve Y in y^2+2y-3=0\r
\n" ); document.write( "\n" ); document.write( "I am so confused...
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Algebra.Com's Answer #21474 by lyra(94)\"\" \"About 
You can put this solution on YOUR website!
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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=-5.
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  • Graphical form: Equation \"%28x-2%29%2A%28x%2B5%29=0\" was fully solved.
  • Text form: (x-2)*(x+5)=0 simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+%28x-2%29%2A%28x%2B5%29=0+%29\"
    For tutors: simplify_cartoon( (x-2)*(x+5)=0 )
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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 \"highlight_red%28+%28x-2%29+%29%2A%28x%2B5%29=0\".
Notes known roots (x-(2))
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Look at \"highlight_red%28+%28highlight_red%28+1+%29%29%2A%28x%2B5%29+%29=0\".
Remove unneeded parentheses around factor \"highlight_red%28+1+%29\"
It becomes \"highlight_green%28+1+%29%2A%28x%2B5%29=0\".
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Look at \"highlight_red%28+1+%29%2A%28x%2B5%29=0\".
Remove extraneous '1' from product \"highlight_red%28+1+%29\"
It becomes \"%28x%2B5%29=0\".
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Look at \"highlight_red%28+%28x%2B5%29+%29=0\".
Remove unneeded parentheses around terms \"highlight_red%28+x+%29\",\"highlight_red%28+5+%29\"
It becomes \"highlight_green%28+x+%29%2Bhighlight_green%28+5+%29=0\".
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Look at \"highlight_red%28+x%2B5+%29=0\".
Solved linear equation \"highlight_red%28+x%2B5=0+%29\" equivalent to x+5 =0
It becomes \"highlight_green%28+0+%29=0\".
Result: \"0=0\"
\n" ); document.write( "This is an equation! Solutions: x=2,x=-5.

Universal Simplifier and Solver

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Done!

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Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:

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\n" ); document.write( "Sorry, this expression cannot be simplified.

Universal Simplifier and Solver

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Done!

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Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation \"ay%5E2%2Bby%2Bc=0\" (in our case \"1y%5E2%2B2y%2B-3+=+0\") has the following solutons:
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\n" ); document.write( " \"y%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca\"
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\n" ); document.write( " For these solutions to exist, the discriminant \"b%5E2-4ac\" should not be a negative number.
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\n" ); document.write( " First, we need to compute the discriminant \"b%5E2-4ac\": \"b%5E2-4ac=%282%29%5E2-4%2A1%2A-3=16\".
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\n" ); document.write( " Discriminant d=16 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28-2%2B-sqrt%28+16+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"y%5B1%5D+=+%28-%282%29%2Bsqrt%28+16+%29%29%2F2%5C1+=+1\"
\n" ); document.write( " \"y%5B2%5D+=+%28-%282%29-sqrt%28+16+%29%29%2F2%5C1+=+-3\"
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\n" ); document.write( " Quadratic expression \"1y%5E2%2B2y%2B-3\" can be factored:
\n" ); document.write( " \"1y%5E2%2B2y%2B-3+=+1%28y-1%29%2A%28y--3%29\"
\n" ); document.write( " Again, the answer is: 1, -3.\n" ); document.write( "Here's your graph:
\n" ); document.write( "\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+1%2Ax%5E2%2B2%2Ax%2B-3+%29\"

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\n" ); document.write( "\n" ); document.write( "Hope this helps,
\n" ); document.write( "lyra \n" ); document.write( "
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