Question

9m2-6/5m+c is a perfect square what is the value of c

Answer 1

I think it is right too!

Answer 2

The expression given to us is:

`9m^2-(6)/(5)m+c`

If the above expression is a perfect square then the middle term will have to be 2 times the square root of the first term times the square root of the last term. Thus:

`-(6)/(5)m=2* 3m* √(c)`

`\therefore √(c)=-(1)/(5)`

Thus,
`c=(1)/(25)`

Thus, for 9m^2-(6/5)m+c to be a perfect square, the value of c must be equal to
`(1)/(25)` or 1/25