Question

If x = m is one of the solutions of the equation 2x² + 5x – m=0 the possible values of m are​

Answer 1

Answer:

m = -2 or m = 0

Step-by-step explanation:

Given  :

$\large p(x)= 2x^2+5x-m=0 \ and \ x=m$

We have to find value of m.

Putting x = m in p ( x ) we get

$\large p(x)= 2m^2+5m-m=0 \\\\\\\large p(x)= 2m^2+4m=0$

Taking 2 m common we get

$\large p(x)= 2m(m+2)=0\\\\\\\large p(x)= (m+2)=0$

From this we get

2m = 0

m = 0

or

m + 2 = 0

m = -2

Thus we get answer m = - 2 or m = 0.