document.write( "Question 348179: Solving a quadratic equation with the Indian method:\r
\n" );
document.write( "\n" );
document.write( "Solve x^2+3x-10=0\r
\n" );
document.write( "\n" );
document.write( "x^2+3x=10\r
\n" );
document.write( "\n" );
document.write( "Next step is to multiply each term by four times the original coefficient of the x^2 term\r
\n" );
document.write( "\n" );
document.write( "4x^2+12x=40\r
\n" );
document.write( "\n" );
document.write( "Next square the original coefficient of x and add it to both sides of the equation:\r
\n" );
document.write( "\n" );
document.write( "4x^2+12x+9=40+9\r
\n" );
document.write( "\n" );
document.write( "4x^2+12x+9=49\r
\n" );
document.write( "\n" );
document.write( "Next is to take the square root of both sides, this is where I'm confused by my textbook:\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "I know that the square root of 4x^2 = 2x but the square root of 12x is not going to be a 'clean' number and the square root of 9 and 49 are 3 and 7... the textbook says that 4x^2+12x+9=49 taken to the square root is\r
\n" );
document.write( "\n" );
document.write( "2x + 3= +-7\r
\n" );
document.write( "\n" );
document.write( "Where did the 12x go? \n" );
document.write( "
Algebra.Com's Answer #248958 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Solve x^2+3x-10=0 \n" ); document.write( "x^2+3x=10 \n" ); document.write( "Next step is to multiply each term by four times the original coefficient of the x^2 term \n" ); document.write( "4x^2+12x=40 \n" ); document.write( "Next square the original coefficient of x and add it to both sides of the equation: \n" ); document.write( "4x^2+12x+9=40+9 \n" ); document.write( "4x^2+12x+9=49 \n" ); document.write( "Next is to take the square root of both sides \n" ); document.write( "------------------- \n" ); document.write( "The left side factors as (2x+3)^2 \n" ); document.write( "---- \n" ); document.write( "(2x+3)^2 = 49 \n" ); document.write( "Taking the square root of both sides you get: \n" ); document.write( "2x+3 = 7 or 2x+3 = -7 \n" ); document.write( "2x = 4 or 2x = -10 \n" ); document.write( "x = 2 or x = -5 \n" ); document.write( "==================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "==================== \n" ); document.write( " |