(ii) 4m2 – 9 = 0, m = 2, 2/3, 3/2
Sol. a) By putting m = 2 in L.H.S. we get
L.H.S. = 4(2)2 – 9
= 4(4) – 9
= 16 – 9
= 7
≠ R.H.S.
∴ L.H.S. ≠ R.H.S.
Thus equation is not satisfied.
So, 2 is not the root of the given quadratic equation.
b) By putting m = 2/3 in L.H.S. we get
L.H.S. = 4(2/3)2 – 9
= 4(4/9) – 9
= (16/9 )- 9
= (16 – 81)/9
= - 65 / 9
≠ RHS
∴ L.H.S. ≠ R.H.S.
Thus equation is not satisfied.
So, 2/3 is not the root of the given quadratic equation.
c) By putting m = 3/2 in L.H.S. we get
L.H.S. = 4(3/2)2 – 9
= 4(9/4) – 9
= 9 – 9
= 0
= R.H.S.
∴ L.H.S. = R.H.S.
Thus equation is satisfied.
So, 3/2 is the root of the given quadratic equation.
