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Feb 8
To solve the equation x^2 - 3x - 18 = 0, we can use factoring or the quadratic formula.
Factoring:
We need to find two numbers that multiply to -18 and add up to -3. The numbers -6 and 3 satisfy these conditions, so we can rewrite the equation as:
(x - 6)(x + 3) = 0
Setting each factor equal to zero, we have:
x - 6 = 0 or x + 3 = 0
Solving these equations, we find:
x = 6 or x = -3
Therefore, the solutions to the equation x^2 - 3x - 18 = 0 are x = 6 and x = -3.
Factoring:
We need to find two numbers that multiply to -18 and add up to -3. The numbers -6 and 3 satisfy these conditions, so we can rewrite the equation as:
(x - 6)(x + 3) = 0
Setting each factor equal to zero, we have:
x - 6 = 0 or x + 3 = 0
Solving these equations, we find:
x = 6 or x = -3
Therefore, the solutions to the equation x^2 - 3x - 18 = 0 are x = 6 and x = -3.
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