document.write( "Question 174426: c=x+8
\n" ); document.write( "b=x
\n" ); document.write( "a=x+7
\n" ); document.write( "find x
\n" ); document.write( "i tried everything i could..i cudnt find any solutions and it drove me crazy...help would be soo appreciated.
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Algebra.Com's Answer #129420 by Electrified_Levi(103)\"\" \"About 
You can put this solution on YOUR website!
Hi, Hope I can help,
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\n" ); document.write( "If this is a Pythagorean Theorem, this is how you would find \"x\"
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\n" ); document.write( "c=x+8
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\n" ); document.write( "b=x
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\n" ); document.write( "a=x+7
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\n" ); document.write( "find x
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\n" ); document.write( "Pythagorean Theorem is \"+a%5E2+%2B+b%5E2+=+c%5E2+\"
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\n" ); document.write( "Now replace the letters \"a\", \"b\", and \"c\" with what they equal in \"x\" terms
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\n" ); document.write( "Replace \"a\" with (x+7)
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\n" ); document.write( "Replace \"b\" with (x)
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\n" ); document.write( "Replace \"c\" with (x+8)
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\n" ); document.write( "\"+a%5E2+%2B+b%5E2+=+c%5E2+\" = \"+%28x%2B7%29%5E2+%2B+%28x%29%5E2+=+%28x%2B8%29%5E2+\", now you would just solve for \"x\"
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\n" ); document.write( "\"+%28x%2B7%29%5E2+%2B+%28x%29%5E2+=+%28x%2B8%29%5E2+\" = \"+%28x%2B7%29%28x%2B7%29+%2B+x%5E2+=+%28x%2B8%29%28x%2B8%29+\", you would now use the FOIL meathod to multiply
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\n" ); document.write( "\"+%28x%2B7%29%28x%2B7%29+%2B+x%5E2+=+%28x%2B8%29%28x%2B8%29+\" = = = =
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\n" ); document.write( "\"+%28x%5E2%2B7x%2B7x%2B49%29+%2B+x%5E2+=+%28x%5E2+%2B+8x+%2B+8x+%2B+64%29+\" = \"+%28x%5E2%2B14x%2B49%29+%2B+x%5E2+=+%28x%5E2+%2B+16x+%2B+64%29+\" = \"+x%5E2%2B14x%2B49+%2B+x%5E2+=+x%5E2+%2B+16x+%2B+64+\" , Now we will combine like terms
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\n" ); document.write( " \"+x%5E2%2B14x%2B49+%2B+x%5E2+=+x%5E2+%2B+16x+%2B+64+\" = \"+2x%5E2%2B14x%2B49+=+x%5E2+%2B+16x+%2B+64+\", we will now move everything on the right side to the left side
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\n" ); document.write( "\"+2x%5E2%2B14x%2B49+=+x%5E2+%2B+16x+%2B+64+\" = \"+2x%5E2+-+x%5E2+%2B14x+-+16x+%2B49+-+64+=+x%5E2+-x%5E2+%2B+16x+-+16x+%2B+64+-+64+\" = \"+x%5E2+-2x++-+15+=+0+\", now we have a quadratic equation
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\n" ); document.write( "We will solve using the quadratic equation
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\n" ); document.write( "Quadratic equation = \"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
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\n" ); document.write( "Quadratic equations are in the form \"+ax%5E2+%2B+bx+%2B+c+=+0+\"
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\n" ); document.write( "\"+x%5E2+-2x++-+15+=+0+\", \"+ax%5E2+%2B+bx+%2B+c+=+0+\"
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\n" ); document.write( "In our equation
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\n" ); document.write( "a = 1
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\n" ); document.write( "b = (-2)
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\n" ); document.write( "c = (-15)
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\n" ); document.write( "Now replace these letters with the numbers in the quadratic equation
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\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\" = = \"x+=+%282+%2B-+sqrt%28+4-%28-60%29+%29%29%2F2+\" = \"x+=+%282+%2B-+sqrt%28+4%2B60+%29%29%2F2+\" = \"x+=+%282+%2B-+sqrt%28+64+%29%29%2F2+\" = \"x+=+%282+%2B-+8%29%2F2+\"
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\n" ); document.write( "\"x+=+%282+%2B+8%29%2F2+\" = \"x+=+%2810%29%2F2+\" = \"x+=+5+\"
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\n" ); document.write( "\"x+=+%282+-+8%29%2F2+\" = \"x+=+%28-6%29%2F2+\" = \"x+=+%28-3%29+\"
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\n" ); document.write( "You can check by replacing these numbers into the original quadratic equation
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\n" ); document.write( "(5), \"+x%5E2+-2x++-+15+=+0+\" = \"+%285%29%5E2+-2%285%29++-+15+=+0+\" = \"+25+-10++-+15+=+0+\" = \"+0+=+0+\" (True)
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\n" ); document.write( "(-3), \"+x%5E2+-2x++-+15+=+0+\" = \"+%28-3%29%5E2+-2%28-3%29++-+15+=+0+\" = \"+9+%2B+6++-+15+=+0+\" = \"+0+=+0+\" ( True )
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\n" ); document.write( "We could have used factoring to solve, but this only works sometimes
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\n" ); document.write( "\"+x%5E2+-2x++-+15+=+0+\"
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\n" ); document.write( "We could have listed all of the factors of (-15), the two factors would have to equal (-2)
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\n" ); document.write( "We would start like this
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\n" ); document.write( "( x )( x )
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\n" ); document.write( "(1, -15) ( added = (-14))
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\n" ); document.write( "( 5, -3) ( added = 2 )
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\n" ); document.write( "(\"+highlight%28-5%29+\" , \"+highlight%283%29+\") ( added = (-2))
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\n" ); document.write( "The factors would then be
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\n" ); document.write( "( x + 3 )( x - 5) = 0
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\n" ); document.write( "You would then set each factor equal to \"0\"
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\n" ); document.write( "\"+%28+x+%2B+3+%29+=+0+\" = \"++x+%2B+3+=+0+\" = \"++x+%2B+3+-+3+=+0+-+3+\" = \"+x+=+%28-3%29+\"
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\n" ); document.write( "\"+%28+x+-+5%29+=+0+\" = \"+x+-+5+=+0+\" = \"+x+-+5+%2B+5+=+0+%2B+5+\" = \"+x+=+5+\"
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\n" ); document.write( "These are our two answers/solutions
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\n" ); document.write( "You can check even further if we replaced \"x\" in our very original equation
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\n" ); document.write( "(5), \"+%28x%2B7%29%5E2+%2B+%28x%29%5E2+=+%28x%2B8%29%5E2+\" = \"+%28%285%29%2B7%29%5E2+%2B+%28%285%29%29%5E2+=+%28%285%29%2B8%29%5E2+\" = \"+12%5E2+%2B+5%5E2+=+13%5E2+\" = \"+144+%2B+25+=+169+\" = \"+169+=+169+\" (True)
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\n" ); document.write( "(-3), \"+%28%28-3%29%2B7%29%5E2+%2B+%28%28-3%29%29%5E2+=+%28%28-3%29%2B8%29%5E2+\" = \"+4%5E2+%2B+%28-3%29%5E2+=+5%5E2+\" =
\n" ); document.write( "\"+16+%2B+9+=+25+\" = \"+25+=+25+\" ( True )
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\n" ); document.write( "Don't be fooled with your two answers, since this is a triangle, your answer cannot be negative ( you cannot have negative sides ), so (-3) is not an answer
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\n" ); document.write( "The only answer that works is \"+5+\"
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\n" ); document.write( "\"+x+=+5+\"
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\n" ); document.write( "Hope I helped, Levi
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