What is the answer to 4|x-2|+1=21 ?

The answer to 4|x-2|+1=21 is x=-3\lor x=7

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4|x-2|+1=21

4 ∣ x - 2 ∣ + 1 = 21

x = - 3 or x = 7

Solution steps

4 ∣ x - 2 ∣ + 1 = 21

Move

1

to the right side

4 ∣ x - 2 ∣ = 20

Divide both sides by

4

∣ x - 2 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 2 = - 5 or x - 2 = 5

x - 2 = - 5 or x - 2 = 5

x = - 3 or x = 7

x^{2} + 10 x y + 25 y^{2}

\frac{∣ 3 x + 1 ∣}{∣ x + 3 ∣} < 1

- 1 y = - 69

4. 3^{2}

405 \cdot \frac{π}{180}