document.write( "Question 322477: I am still struggling with this topic. How would I create a quadratic equation with given solutions 9 and 16? \n" ); document.write( "
Algebra.Com's Answer #231306 by problemsolver(1)![]() ![]() You can put this solution on YOUR website! Using the principle of zero; you set both solutions of x to equal zero and work backwards. \n" ); document.write( "x=9 x=16 \n" ); document.write( "x-9=0 x-16=0\r \n" ); document.write( "\n" ); document.write( "Now apply FOIL to calculate the equation from these two binomials\r \n" ); document.write( "\n" ); document.write( "(x-9)(x-16)=0\r \n" ); document.write( "\n" ); document.write( "First x*x=x^2 \n" ); document.write( "Outer x*-16=-16x \n" ); document.write( "Inner -9*x= -9x \n" ); document.write( "Last -9*-16=144\r \n" ); document.write( "\n" ); document.write( "Combine the like terms of -16x and -9x to equal -25x\r \n" ); document.write( "\n" ); document.write( "Therefore, the original equation is x^2-25x+144 \n" ); document.write( " \n" ); document.write( " |