document.write( "Question 1075591: If c is a nonzero constant such that x^2+cx+9c is equal to the square of a binomial, then what is c? \n" ); document.write( "
Algebra.Com's Answer #690269 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! The discrimant has to equal 0 for the roots to be the same \n" ); document.write( "sqrt(b^2-4ac) becomes sqrt(c^2-4*9*c)=sqrt(c^2-36c) \n" ); document.write( "That equals 0, so c^2-36c=0 \n" ); document.write( "c=0,36, and 0 isn't allowed \n" ); document.write( "c=36 \n" ); document.write( "x^2+36x+324=0 \n" ); document.write( "This is (x+18)^2=0 \n" ); document.write( " |