document.write( "Question 756612: Write a quadratic equation in standard form with the solution set {2-sqrt5, 2+sqrt 5}.
\n" );
document.write( "The quadratic equation in standard form is ___.
\n" );
document.write( "(Simplify your answer. Type an equation using x as the variable.) \n" );
document.write( "
Algebra.Com's Answer #460323 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Write a quadratic equation in standard form with the solution set \n" ); document.write( "{2-sqrt5, 2+sqrt 5}. \n" ); document.write( "---- \n" ); document.write( "f(x) = [x-(2-sqrt(t)][x-(2+sqrt(5)] \n" ); document.write( "------ \n" ); document.write( "Rearrange: \n" ); document.write( "f(x) = [(x-2)+sqrt(5)][(x-2)-sqrt(5)] \n" ); document.write( "--------- \n" ); document.write( "Multiply: \n" ); document.write( "------ \n" ); document.write( "f(x) = (x-2)^2 - 5 \n" ); document.write( "---- \n" ); document.write( "f(x) = x^2 -4x +4 -5 \n" ); document.write( "---- \n" ); document.write( "f(x) = x^2 -4x -1 \n" ); document.write( "======================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "===================== \n" ); document.write( " \n" ); document.write( " |