document.write( "Question 683822: Solve x2+4x-7=0 using quadratic equation and then approximate answer to three decimal places using a calculator \n" ); document.write( "
Algebra.Com's Answer #423761 by Jolliano(16)![]() ![]() You can put this solution on YOUR website! USING COMPLETING THE SQUARE METHOD. \n" ); document.write( "X^2 + 4x - 7 = 0 \n" ); document.write( "X^2 + 4x = 7 \n" ); document.write( "Find half the coefficient of x,square it and then add it to both sides. \n" ); document.write( "X^2 + 4x + (2^2) = 7 + 2^2 \n" ); document.write( "x^2 + 4x + 4 = 7 + 4 Factorise the L.H.S, \n" ); document.write( "(x + 2)^2 = 11 \n" ); document.write( "Find the root of both sides, \n" ); document.write( "(x+2) = +√ 11 or -√ 11 Taking positive root first, \n" ); document.write( "x + 2 = 3.317 \n" ); document.write( "x = 3.317 - 2 \n" ); document.write( "x = 1.317 \n" ); document.write( "Taking negative root, x + 2 = -3.317 \n" ); document.write( "x = -3.317 - 2 \n" ); document.write( "x = -5.317 \n" ); document.write( " |