Solve the quadratic x² − 5x + 6 = 0
Mathematics
ScanSolve AI Answer
Answer
The solutions to the quadratic equation x^2 - 5x + 6 = 0 are x = 2 and x = 3.
Step-by-step solution
2 stepsSteps:
Factor the quadratic equation
We need to find two numbers that multiply to 6 (the constant term) and add up to -5 (the coefficient of the x term).
The numbers are -2 and -3.
So, the equation can be factored as:
(x - 2)(x - 3) = 0Set each factor equal to zero and solve for x
x - 2 = 0
x = 2x - 3 = 0
x = 3Therefore, the solutions are x = 2 and x = 3.
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