document.write( "Question 259772: Find the value of k for which the equation 3x2 − kx + 7 = 0 will have two real solutions. \n" ); document.write( "
Algebra.Com's Answer #191245 by CharlesG2(834)\"\" \"About 
You can put this solution on YOUR website!
Find the value of k for which the equation 3x2 − kx + 7 = 0 will have two real solutions.\r
\n" ); document.write( "\n" ); document.write( "3x^2 -kx +7 = 0\r
\n" ); document.write( "\n" ); document.write( "a quadratic equation is ax^2+bx+c=0
\n" ); document.write( "solved by:
\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "b^2-4ac is the discriminant
\n" ); document.write( "the discriminant needs to be greater than 0\r
\n" ); document.write( "\n" ); document.write( "a=3, b=-k, c=7
\n" ); document.write( "(-k)^2-4*3*7
\n" ); document.write( "k^2-12*7
\n" ); document.write( "k^2-84\r
\n" ); document.write( "\n" ); document.write( "k^2 needs to be greater than 84
\n" ); document.write( "k=sqrt(84)=sqrt(4*21)=2*sqrt(21)=9.165151
\n" ); document.write( "k needs to be greater than 9.165151
\n" ); document.write( " \n" ); document.write( "
\n" );