Answer:
False
Explanation:
Quadratic equations do not always have two real solutions. They can also have two complex solutions or one real solution.
The number and type of solutions of a quadratic equation are determined by its discriminant, which is given by the following formula:
discriminant = b² - 4ac
where a, b and c are the coefficients of the quadratic equation.
- If the discriminant is positive, then the quadratic equation has two distinct real solutions.
- If the discriminant is zero, then the quadratic equation has one repeated real solution.
- If the discriminant is negative, then the quadratic equation has two complex solutions.
Therefore, the statement "quadratic equations always have two real solutions" is false.