0 0 votes The number of roots common between $x^3 + 3 x^2 + 4x + 5 = 0$ and $x^3 + 2 x^2 + 7x +3 =0$ is $0$ $1$ $2$ $3$ Quantitative Aptitude cat2003-2 quantitative-aptitude cubic-equations + – go_editor 14.2k points 3.5k views answer comment Share Follow Print 0 reply Please log in or register to add a comment.
2 2 votes $x^{3}$ + 3$x^{2}$ + 4x + 5 = 0 ... (i) $x^{3}$ + 2$x^{2}$ + 7x + 3 = 0 ... (ii) Equating equations (i) and (ii), we get, $x^{2}$ – 3x + 2 = 0 x = 1 or x = 2 Since both x = 1 and x = 2, do not satisfy either (i) or (ii), there exists no common roots for equations (i) and (ii). Hence, option (A).0 Leen Sharma answered May 5, 2016 Leen Sharma 11.6k points comment Share Follow See all 4 Comments 4 4 Comments reply srestha 5.2k points commented May 6, 2016 reply Follow flag Even individually they have no root rt? 0 0 replyShare Leen Sharma 11.6k points commented May 6, 2016 reply Follow flag No,Every equation has it's roots.If equation has no roots then how we can create a equation. Roots are necessary to satisy a equaion. 0 0 replyShare srestha 5.2k points commented May 6, 2016 reply Follow flag then tell me what is the root of 1st equation? 0 0 replyShare Leen Sharma 11.6k points commented May 6, 2016 reply Follow flag X1: -2.2134116627622284 X2: -0.3932941686188858 + i 1.4506122491884423 X3: -0.3932941686188858 + i -1.4506122491884423 online calculator :-https://www.easycalculation.com/algebra/cubic-equation.php 0 0 replyShare Please log in or register to add a comment.