Solve the quadratic equation $x^2 - 5x + 6 = 0$

Step 1: Identify coefficients

A quadratic equation is generally written in the form $ax^2 + bx + c = 0$. We need to identify the values of $a$, $b$, and $c$ from the given equation.

Step 2: Apply the quadratic formula

The quadratic formula is used to find the solutions (roots) of any quadratic equation. We will substitute the values of $a$, $b$, and $c$ into this formula.

Step 3: Substitute values into the formula

Substitute $a=1$, $b=-5$, and $c=6$ into the quadratic formula. This will allow us to calculate the values of $x$.

Step 4: Simplify the expression

Simplify the expression under the square root and perform the multiplication in the denominator. This step brings us closer to finding the roots.

Step 5: Calculate the roots

Now, we calculate the two possible values for $x$ by considering both the positive and negative square roots. These are the two roots of the quadratic equation.

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