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Question

5m2 – 2m = 2

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Solution

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
x=-b±b2-4ac2a
On substituting a = 5, b = –2 and c = –2, we get:
m = --2±-22-4×5×-22×5 =2±4+4010 =2±4410 =2±21110 =21±1110 =1±115
Thus, the solution of the given quadratic equation is m = 1+115 , 1-115.

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