Question 335848
Check the discriminant, {{{b^2-4ac}}}

If it is a positive number, then there are 2 real solutions.

{{{(-7)^2-4(1)(1)=45}}}

a positive number. Thus, it has two real solutions.

They are {{{(3sqrt(5)+7)/2}}}

and

{{{(-3sqrt(5)+7)/2}}}