Question

A quadratic equation has a

Answer 1

Answer:

$\boxed {\boxed {\sf 2 \ real \ solutions }}$

Step-by-step explanation:

The quadratic formula is:

${x = \frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}}$

The discriminant of a quadratic is just the expression under the square root, or $b^2-4ac$. 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.