Answer:
Explanation:
This is a standard quadratic equation in the form ax^2 + bx + c = 0, where a = 1, b = -5 and c = 6. To solve for x, you can use the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / 2a
Where ± represents the positive and negative square root, and the expression under the square root is called the discriminant (b^2 - 4ac).
So, substituting the values for a, b, and c, we have:
x = (-(-5) ± √((-5)^2 - 4 * 1 * 6)) / 2 * 1
x = (5 ± √(25 - 24)) / 2
x = (5 ± √1) / 2
Since the square root of 1 is 1, the two solutions are:
x = (5 + 1) / 2 = 3
x = (5 - 1) / 2 = 2
So, the solutions to the equation x^2 - 5x + 6 = 0 are x = 2 and x = 3.