How do you find the discriminant and how many and what type of solutions does #x^2 + 10x + 25 = 64# have?
The quadratic has two real solutions. (The solutions are
To find the discriminant, first bring everything to one side of the equation:
Now, use the
Since the discriminant is positive, the quadratic has two real solutions.
To solve for the solutions, you can use the quadratic formula:
Or you could factor the quadratic:
Or you could take the original problem and square root both sides:
Hope this helped!