Question

check the weather a=5 is the solution of equation 2a-3=a+2​

Answer 1

The expression is always positive that means the discriminant of the equation is always less than zero .

So, 4(2a−3)

2

−4(a−2)(5a−6)<0

(16a

2

+36−48a)−(20a

2

−64a+48)<0

(−4a

2

+16a−12)<0

(−4)(a

2

−4a+3)<0

(a−3)(a−1)>0

So, the expression will be positive for a>3 and a<1

Option C is correct .

Answer 2

Answer:

L.H.S = R.H.S proved for a = 5

2a-3=a+2

L.H.S = 2*5-3 = 10-3 = 7

R.H.S = 5+2 = 7

So, L.H.S = R.H.S proved