Solve x² - 5x + 6 = 0
Step-by-step solution with detailed explanations
Final Answer
x = 2 or x = 3
Step-by-Step Solution
1
Factor
Find numbers that multiply to 6, add to -5
2
Factors
(x-2)(x-3) = 0
3
Solve
x = 2 or x = 3
Expert Insights
Factoring pattern: x² + bx + c = (x+m)(x+n) where mn=c, m+n=b
Here: -2 × -3 = 6, -2 + -3 = -5
Pro Tip: For x² + bx + c, find factors of c that sum to b