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Solve the following quadratic inequality x^2+x-6>0

User LiamGu
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1 Answer

1 vote

Answer:

x < -3 or x > 2

Explanation:

x² + x - 6 > 0

Convert the inequality to an equation.

x² + x - 6 = 0

Factor using the AC method and get:

(x - 2) (x + 3) = 0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

x - 2 = 0

x = 2

x + 3 = 0

x = -3

So, the solution is x < -3 or x > 2

User Iacopo Boccalari
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8.5k points

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