Question

One root of the quadratic equation x2 – mx – 5 = 0 is 2. Find the value of m.​

Answer 1

Step-by-step explanation:

substitute 2 in place of x

Answer 2

$\large \underline{\purple{ \sf{answer : }}}$

$\sf{x {}^{2} - mx - 5 = 0} \\ \sf{putting \: x = 2 \: in \: p(x)} \\ \sf{p(x) = x {}^{2} - mx - 5 = 0} \\ \sf{p(2) = (2) {}^{2} - m(2) - 5} \\ \sf{p(2) = 4 - 2m - 5} \\ \sf{p(2) = - 2m - 1} \\ \sf{ - 2m - 1 = 0 } \\ \sf{ - 2m = 1} \\ \boxed{\sf{m = - \frac{1}{2} }}$