Answer: according to spark notes: There can be 0, 1, or 2 solutions to a quadratic equation, depending on whether the expression inside the square root sign, (b2 - 4ac), is positive, negative, or zero. This expression has a special name: the discriminant.
In this case it is 0, not 2, which was my first and wrong answer
Answer:
2 solutions
Step-by-step explanation:
A quadratic equation has the formula:
[tex]ax^{2} + bx +c = 0[/tex]
The solution of the equation is given as:
[tex]x = \frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex]
The expression: [tex]b^{2}-4ac[/tex] is known as the discriminant given by the symbol D.
Thus, the discriminant D, is given as D = b² - 4ac
There are several conditions to the solution.
If D < 0 the roots are imaginary. They are not real.
If D = 0, the solution has one real root
If D > 0, the solution as two distinct real roots (negative or positive)
A quadratic equation has only two real roots or solutions.
