document.write( "Question 260004: Please help me solve this equation (3+x)^2=49. I can't figure out how to solve for x \n" ); document.write( "
Algebra.Com's Answer #191439 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! (3+x)^2=49 \n" ); document.write( "(3+x) \n" ); document.write( "(3+x) multiply \n" ); document.write( "----- \n" ); document.write( "9+3x+3x+x^2 combine the x terms. \n" ); document.write( "9+6x+x^2=49 subtract 49 from both sides. \n" ); document.write( "9+6x+x^2-49=0 combine the numbers. \n" ); document.write( "x^2+6x-40=0 factor the equation. \n" ); document.write( "(x-4)(x+10)=0 set each factor =0 & solve for x. \n" ); document.write( "x-4=0 add 4 to each side. \n" ); document.write( "x=4 ans. \n" ); document.write( "x+10=0 subtract 10 from each side. \n" ); document.write( "x=-10 ans. \n" ); document.write( "------------------- \n" ); document.write( "Proof: \n" ); document.write( "(3+4)^2=49 \n" ); document.write( "7^2=49 \n" ); document.write( "(3-10)^2=49 \n" ); document.write( "-7^2=49 \n" ); document.write( "49=49 \n" ); document.write( " |