A farmer near Nagpur frames the equation x^2 - 2(m+1)x + (m^2 + 5) = 0 to share m acres. For the roots to be real and equal, find the value of m.

Question

Accepted Answer

2. D = 0: 4(m+1)^2 - 4(m^2 + 5) = 0, so (m+1)^2 = m^2 + 5, i.e. m^2 + 2m + 1 = m^2 + 5, giving 2m = 4, m = 2.

A farmer near Nagpur frames the equation $x^{2} - 2 (m + 1) x + (m^{2} + 5) = 0$ to share $m$ acres. For the roots to be real and equal, find the value of $m$ .