Given: 5m2 – 2m = 2
On rewriting this equation in the standard form of the quadratic equation, we get:
5m2 – 2m – 2 = 0
On comparing this equation with ax2 + bx + c = 0, we get:
a = 5, b = –2 and c = –2
Here, the variable is m.
For the quadratic equation ax2 + bx + c = 0, we know that the quadratic formula is
On substituting a = 5, b = –2 and c = –2, we get:
Thus, the solution of the given quadratic equation is m = .