If x^2 - 5x + 6 = 0, what are the roots of the equation?
Correct Answer: x = 2 and x = 3
- Step 1: Start with the equation x^2 - 5x + 6 = 0.
- Step 2: Look for two numbers that multiply to 6 (the constant term) and add up to -5 (the coefficient of x).
- Step 3: The numbers -2 and -3 work because -2 * -3 = 6 and -2 + -3 = -5.
- Step 4: Rewrite the equation using these numbers: (x - 2)(x - 3) = 0.
- Step 5: Set each factor equal to zero: x - 2 = 0 and x - 3 = 0.
- Step 6: Solve for x in each equation: x = 2 and x = 3.
No concepts available.
