document.write( "Question 819255: Hello, I need an explanation on this problem: 3p^2 + 4p = 5\r
\n" );
document.write( "\n" );
document.write( "The answer is P=2±sqrt(19)/3\r
\n" );
document.write( "\n" );
document.write( "For whatever reason, after using the quadratic formula, I get P=-2± sqrt(19)/3\r
\n" );
document.write( "\n" );
document.write( "As we know, the quadratic formula requires us to change the \"4\" in the problem to a \"-4\" [p=-4p± sqrt4^2-4(3)(-5)/2(3)]. \r
\n" );
document.write( "\n" );
document.write( "HOW is the \"2\" a positive number? Please help \n" );
document.write( "
Algebra.Com's Answer #493000 by TimothyLamb(4379)![]() ![]() You can put this solution on YOUR website! 3p^2 + 4p = 5 \n" ); document.write( "3p^2 + 4p - 5 = 0 \n" ); document.write( "--- \n" ); document.write( "the above quadratic equation is in standard form, with a=3, b=4, and c=-5 \n" ); document.write( "--- \n" ); document.write( "to solve the quadratic equation by using the quadratic formula, plug this: \n" ); document.write( "3 4 -5 \n" ); document.write( "into this: https://sooeet.com/math/quadratic-equation-solver.php \n" ); document.write( "--- \n" ); document.write( "the two real roots of the quadratic are: \n" ); document.write( "p = 0.786299648 \n" ); document.write( "p = ( -4 + sqrt(4^2 - 4(3)(-5)) ) / 2(3) \n" ); document.write( "p = ( -4 + sqrt(16 - (-60)) ) / 2(3) \n" ); document.write( "p = ( -4 + sqrt(76) ) / 6 \n" ); document.write( "p = ( -4 + sqrt(4*19) ) / 6 \n" ); document.write( "p = ( -4 + (2)sqrt(19) ) / 6 \n" ); document.write( "p = ( -2 + sqrt(19) ) / 3 \n" ); document.write( "--- \n" ); document.write( "p = -2.11963298 \n" ); document.write( "p = ( -4 - sqrt(4^2 - 4(3)(-5)) ) / 2(3) \n" ); document.write( "p = ( -4 - sqrt(16 - (-60)) ) / 2(3) \n" ); document.write( "p = ( -4 - sqrt(76) ) / 6 \n" ); document.write( "p = ( -4 - sqrt(4*19) ) / 6 \n" ); document.write( "p = ( -4 - (2)sqrt(19) ) / 6 \n" ); document.write( "p = ( -2 - sqrt(19) ) / 3 \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( "Calculate and graph the linear regression of any data set: \n" ); document.write( "https://sooeet.com/math/linear-regression.php \n" ); document.write( " |