document.write( "Question 1184300: If a, b, c are in arithmetic sequence then find roots of equation:
\n" ); document.write( " $\"+ax%5E2+-2bx+%2B+c+=+0+\"$ ? \n" ); document.write( "

Algebra.Com's Answer #814876 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( " $\"ax%5E2-2bx%2Bc=0+\"$ \r
\n" ); document.write( "\n" ); document.write( "Since $\"a\"$ , $\"b\"$ and $\"c\"$ are in $\"AP\"$ \r
\n" ); document.write( "\n" ); document.write( "=> $\"2b=a%2Bc\"$ \r
\n" ); document.write( "\n" ); document.write( "Given, quadratic equation,\r
\n" ); document.write( "\n" ); document.write( " $\"ax%5E2-2bx%2Bc=0+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"ax%5E2-%28a%2Bc%29x%2Bc=0\"$ .................substitute $\"2b=a%2Bc+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+ax%5E2-ax-cx%2Bc=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28ax%5E2-ax%29-%28cx-c%29=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+ax%28x-1%29-c%28x-1%29=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28x-1%29%28ax-c%29=0\"$ \r
\n" ); document.write( "\n" ); document.write( "roots:\r
\n" ); document.write( "\n" ); document.write( " $\"x=1\"$ , or $\"x=c%2Fa\"$
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