3 votes 3 votes Find all real solutions of the equation $x^{2} - |x-1| - 3 = 0$ Others engineering-mathematics quadratic-equations isi2015 + – Devasish Ghosh asked Mar 4, 2017 • retagged Jun 23, 2017 by Arjun Devasish Ghosh 525 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
Best answer 5 votes 5 votes $x = 1$ does not satisfy the equation considering the domain $x > 1$ $x^{2}-(x-1)-3=0\\ x^{2}-x-2=0$ $x=2$ considering the domain $x<1$ $x^{2}-(1-x)-3=0\\ x^{2}+x-4=0$ $x=\frac{-1-\sqrt{17}}{2}$ Anand Vijayan answered Mar 4, 2017 • selected Mar 4, 2017 by Devasish Ghosh Anand Vijayan comment Share Follow See all 0 reply Please log in or register to add a comment.