What is the answer to |x-4|=10 ?

The answer to |x-4|=10 is x=-6\lor x=14

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|x-4|=10

∣ x - 4 ∣ = 10

x = - 6 or x = 14

Solution steps

∣ x - 4 ∣ = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 4 = - 10 or x - 4 = 10

x - 4 = - 10 or x - 4 = 10

x = - 6 or x = 14

4 (- 1)^{3} - 16 (- 1)

3 x^{2} - 10 x + 8

x^{2} + 6 x + 9 = 2

\frac{6 x ^{3} - 13 x ^{2} - 5 x}{x ^{2} - 4} \geq 0

\frac{1}{2 \cdot 1 0 ^{9}}