document.write( "Question 23773: How do I solve for b?\r
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document.write( "16b-squared - 9 = 0 \n" );
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Algebra.Com's Answer #12539 by AnlytcPhil(1806)![]() ![]() You can put this solution on YOUR website! How do I solve for b? \r\n" ); document.write( "16b-squared - 9 = 0\r\n" ); document.write( "\r\n" ); document.write( "16b2 - 9 = 0\r\n" ); document.write( "\r\n" ); document.write( "Two ways. Factoring method:\r\n" ); document.write( "\r\n" ); document.write( "16b2 - 9 = 0\r\n" ); document.write( "\r\n" ); document.write( "can be written as\r\n" ); document.write( "\r\n" ); document.write( "(4b)2 - 32 = 0\r\n" ); document.write( "\r\n" ); document.write( "This is the difference of two perfect squares. The difference of two perfect\r\n" ); document.write( "squares factors into the product of the sum and differencve of the two square\r\n" ); document.write( "roots.\r\n" ); document.write( "\r\n" ); document.write( "(4b - 3)(4b + 3) = 0\r\n" ); document.write( "\r\n" ); document.write( "Now use the zero-factor principle, which is to put \" = 0 \" after each of those\r\n" ); document.write( "two parenthetical factors and solve for the two answers:\r\n" ); document.write( "\r\n" ); document.write( "4b - 3 = 0 4b + 3 = 0\r\n" ); document.write( " 4b = 3 4b = -3 \r\n" ); document.write( " b = 3/4 b = -3/4\r\n" ); document.write( "\r\n" ); document.write( "=======================================================\r\n" ); document.write( "\r\n" ); document.write( "Second way: Taking square roots:\r\n" ); document.write( "\r\n" ); document.write( "16b2 - 9 = 0\r\n" ); document.write( "\r\n" ); document.write( "Add 9 to both sides\r\n" ); document.write( "\r\n" ); document.write( "16b2 = 9\r\n" ); document.write( "\r\n" ); document.write( "Take the square roots of both sides, remembering that there are\r\n" ); document.write( "two square roots.\r\n" ); document.write( " _\r\n" ); document.write( "square roots of 16b2 = ±Ö9\r\n" ); document.write( " \r\n" ); document.write( " 4b = ±3\r\n" ); document.write( "\r\n" ); document.write( " b = ±3/4\r\n" ); document.write( "\r\n" ); document.write( "Edwin\r\n" ); document.write( "AnlytcPhil@aol.com\n" ); document.write( " |