document.write( "Question 1119502: If the difference of the roots of the equation 2x2 − (a +1)x+a−1 = 0 is equal to their product, then prove that a = 2. 6. Find the condition that one of the roots of ax2 + bx + c may be (i) negative of the other, (ii) thrice the other, (iii) reciprocal of the other. 7. If the equations x2 −ax+b = 0 and x2−ex+f = 0haveoneroot in common and if the second equation has equal roots, then prove that ae = 2(b + f). 8. Discuss the nature of roots of (i) −x2 + 3x + 1 = 0, (ii) 4x2 − x −2 = 0, (iii) 9x2 +5x = 0. 9. Without sketching the graphs, nd whether the graphs of the following functions will intersect the x-axis and if so in how many points. (i) y = x2 +x+2,(ii) y = x2 −3x−7,(iii) y = x2 +6x+9. \n" ); document.write( "

Algebra.Com's Answer #735079 by ikleyn(52786) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "To better serve to our users, the rule was established in this forum by the owner and creator of this site: \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

ONE and ONLY ONE problem per post.

\r
\n" ); document.write( "\n" ); document.write( "Please obey this rule.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Those who violate it, certainly and definitely work against their own interests.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So, separate your problems and submit them in separate posts.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "With it, welcome to the forum !\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );