Answer:
[tex]\boxed {\boxed {\sf 2 \ real \ solutions }}[/tex]
Step-by-step explanation:
The quadratic formula is:
[tex]{x = \frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}}[/tex]
The discriminant of a quadratic is just the expression under the square root, or [tex]b^2-4ac[/tex]. This can tell us the number of solutions a quadratic has.
If the discriminant is:
- Positive = 2 real solutions
- Equal to Zero = 1 real double/repeated solution
- Negative = 0 real solutions, but 2 imaginary solutions
Our quadratic equation has a discriminant of 5, which is positive. Therefore, it has 2 real solutions.
