Solve Quadratic Equation

The quadratic equation x^2 - x - 6 = 0 was solved by factoring. The solutions are x = 3 and x = -2.

Answer

Let’s solve the quadratic equation

1. Factoring

Find two numbers that add up to -1 (the coefficient of the x term) and multiply to -6 (the constant term).
These numbers are -3 and 2.
Rewrite the equation using these numbers:
Set each factor equal to zero and solve for x:

Therefore, the solutions to the equation are x = 3 and x = -2.

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