Is distinct solution and real roots the same thing?

[almostdonewithschooling]

Example

Question says: by examining the discriminant, find # of distinct solution:


For x^2 + 8x+7=0

It would be 36

So could you say

The equation has 2 distinct solution

Or do you have to say

So the equation has 2 real roots

Cheers

[Sine]

Example

Question says: by examining the discriminant, find # of distinct solution:


For x^2 + 8x+7=0

It would be 36

So could you say

The equation has 2 distinct solution

Or do you have to say

So the equation has 2 real roots

Cheers

good question

Δ > 0
means that there are two real solution (non-repeat solutions) so "two distintive solutions" is ok but not perfect, "2 real roots" is also good but I would rather go with the word "solution" than "root".
If you combine both of those you get: "two distinctive real solutions" which encompasses everything.

However often is the case teachers will be fine with "two real solutions"
since in methods they are mainly wanting you two understand that there can be 0,1 or 2 real solutions.