document.write( "Question 348012: solve the (square root of x+4)+8=0 \n" ); document.write( "
Algebra.Com's Answer #248821 by haileytucki(390)![]() ![]() You can put this solution on YOUR website! ~((x+4))+8=0\r \n" ); document.write( "\n" ); document.write( "Since 8 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 8 from both sides. \n" ); document.write( "~((x+4))=-8\r \n" ); document.write( "\n" ); document.write( "To remove the radical on the left-hand side of the equation, square both sides of the equation. \n" ); document.write( "(~((x+4)))^(2)=(-8)^(2)\r \n" ); document.write( "\n" ); document.write( "Simplify the left-hand side of the equation. \n" ); document.write( "(x+4)=(-8)^(2)\r \n" ); document.write( "\n" ); document.write( "Squaring an expression is the same as multiplying the expression by itself 2 times. \n" ); document.write( "(x+4)=((-8)(-8))\r \n" ); document.write( "\n" ); document.write( "Multiply -8 by -8 to get 64. \n" ); document.write( "(x+4)=((64))\r \n" ); document.write( "\n" ); document.write( "Remove the parentheses around the expression 64. \n" ); document.write( "(x+4)=(64)\r \n" ); document.write( "\n" ); document.write( "Remove the parentheses around the expression 64. \n" ); document.write( "(x+4)=64\r \n" ); document.write( "\n" ); document.write( "Remove the parentheses around the expression x+4. \n" ); document.write( "x+4=64\r \n" ); document.write( "\n" ); document.write( "Since 4 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 4 from both sides. \n" ); document.write( "x=-4+64\r \n" ); document.write( "\n" ); document.write( "Add 64 to -4 to get 60. \n" ); document.write( "x=60\r \n" ); document.write( "\n" ); document.write( "Verify each of the first set of solutions by substituting them into the original equation and solving. In this case, none of the solutions are valid. \n" ); document.write( "No Solution \n" ); document.write( " |