Problem

Factorize the following quadratic equation: \(x^2 - 5x + 6 = 0\)

Answer

Expert–verified
Hide Steps
Answer

Finally, we can write the factorized form of the quadratic equation as \((x - 2)(x - 3) = 0\)

Steps

Step 1 :First, we can express the quadratic equation in the form \(ax^2 + bx + c = 0\), where a = 1, b = -5, and c = 6.

Step 2 :Next, we look for two numbers that add up to b (-5) and multiply to c (6). These numbers are -2 and -3.

Step 3 :Finally, we can write the factorized form of the quadratic equation as \((x - 2)(x - 3) = 0\)

link_gpt