What is the answer to |x^2+x-6|=0 ?

The answer to |x^2+x-6|=0 is x=-3\lor x=2

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|x^2+x-6|=0

x^{2} + x - 6 = 0

x = - 3 or x = 2

Solution steps

x^{2} + x - 6 = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

x^{2} + x - 6 = 0

x^{2} + x - 6 = 0 : x = 2, x = - 3

x = - 3 or x = 2

∣ 3 x ∣ = 1

∣ 2 x - 1 ∣ = - x

x^{2} - 4 = ∣ x ∣ + 2

∣ 2 x - 5 ∣ = 25

- ∣ x + 2 ∣ - 1 = 0