Question

Determine whether the value given is the roots of the equation or not 2m2 − 5m = 0 ; m = 2, 5 2​

Answer 1

Step-by-step explanation:

Let p(m) = 2m²-5m=0

On Putting m = 2 in eq 1

2m²-5m=0

2(2)² - 5(2) = 0

2×4 -10 = 0

8 -10 = 0

-2 ≠0

Here, m =2 is not the root of p(m).

On Putting m = 5/2 in eq 1.

2m²-5m=0

2(5/2)² - 5(5/2) = 0

2 (25/4) - 25/2 = 0

25/2 - 25/2 = 0

Here, p(5/2) = 0

Hence,p= 2 is not the root of the given equation & p = 5/2 is the root of the Given equation.

Hope it Helps!!