document.write( "Question 824150: The area of a rectangular room is 399 sq. ft.
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document.write( "Its length is 5.3 ft greater than its width.
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document.write( "Find the dimensions of the room. \n" );
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Algebra.Com's Answer #496123 by TimothyLamb(4379)![]() ![]() You can put this solution on YOUR website! --- \n" ); document.write( "x = y + 5.3 \n" ); document.write( "--- \n" ); document.write( "xy = 399 \n" ); document.write( "(y + 5.3)y = 399 \n" ); document.write( "yy + 5.3y - 399 = 0 \n" ); document.write( "--- \n" ); document.write( "the above quadratic equation is in standard form, with a=1, b=5.3, and c=-399 \n" ); document.write( "--- \n" ); document.write( "to solve the quadratic equation, by using the quadratic formula, copy and paste this: \n" ); document.write( "1 5.3 -399 \n" ); document.write( "into this solver: https://sooeet.com/math/quadratic-equation-solver.php \n" ); document.write( "--- \n" ); document.write( "this quadratic has two real roots (the x-intercepts), which are: \n" ); document.write( "y = 17.5 \n" ); document.write( "y = -22.8 \n" ); document.write( "--- \n" ); document.write( "negative length doesn't make sense for this problem, so use the positive root: \n" ); document.write( "--- \n" ); document.write( "answer: \n" ); document.write( "y = width = 17.5 ft \n" ); document.write( "x = length = 22.8 ft \n" ); document.write( "--- \n" ); document.write( "Solve and graph linear equations: \n" ); document.write( "https://sooeet.com/math/linear-equation-solver.php \n" ); document.write( "--- \n" ); document.write( "Solve quadratic equations, quadratic formula: \n" ); document.write( "https://sooeet.com/math/quadratic-formula-solver.php \n" ); document.write( "--- \n" ); document.write( "Solve systems of linear equations up to 6-equations 6-variables: \n" ); document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php \n" ); document.write( " |