Use the Quadratic Formula to solve
1.
To use the Quadratic Formula, you need to have a quadratic equation in the form of:
ax^2 + bx + c = 0
where a, b, and c are constants.
Once you have the quadratic equation, you can use the Quadratic Formula, which is:
x = (-b ± √(b^2 - 4ac)) / (2a)
1. Let's say the quadratic equation is:
x^2 - 5x + 6 = 0
Now, we can directly identify the values of a, b, and c:
a = 1
b = -5
c = 6
Using the Quadratic Formula, we substitute these values to find the solutions:
x = (-(-5) ± √((-5)^2 - 4(1)(6))) / (2(1))
Simplifying further:
x = (5 ± √(25 - 24)) / 2
x = (5 ± √1) / 2
Now we can split this into two solutions:
x1 = (5 + 1) / 2 = 6 / 2 = 3
x2 = (5 - 1) / 2 = 4 / 2 = 2
Therefore, the solutions to the quadratic equation x^2 - 5x + 6 = 0 are x = 2 and x = 3.