document.write( "Question 359633: write a quadratic equation with -3/4 and 4 as its roots, write the equation in form ax^2+bx+c=0, where a,b, and c are integers \n" ); document.write( "
Algebra.Com's Answer #256632 by Jk22(389)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "We get : A(x-4)(x+3/4) as polynomial \n" ); document.write( " \n" ); document.write( " = A (x^2 + 3x/4 -4x - 3) \n" ); document.write( " \n" ); document.write( " = A (x^2 - 13x/4 - 3) = 0 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "hence A has to be a multiple of 4 (4m) in order the coefficient to be integers : \n" ); document.write( " \n" ); document.write( " a = 4m, b = -13m, c = -12m, m integer (preferably non zero) \n" ); document.write( " |