What is the answer to |x^2-20x-1|=20 ?

The answer to |x^2-20x-1|=20 is x=-1\lor x=1\lor x=19\lor x=21

Solve for x: |x^2-20x-1|=20

The solution is x=-1\lor x=1\lor x=19\lor x=21

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x^{2} - 20 x - 1 = 20

x = - 1 or x = 1 or x = 19 or x = 21

Solution steps

x^{2} - 20 x - 1 = 20

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x^{2} - 20 x - 1 = - 20 or x^{2} - 20 x - 1 = 20

x^{2} - 20 x - 1 = - 20 or x^{2} - 20 x - 1 = 20

(x = 1 or x = 19) or (x = - 1 or x = 21)

x = - 1 or x = 1 or x = 19 or x = 21

∣ 6 w + 4 ∣ = 2 w - 10

∣ 12 - x ∣ = x^{2} - 12 x

∣ 3 x + 5 ∣ - 3 = x

∣ 4 x - 7 ∣ + 2 = 5 x

2 + ∣ 4 x - 6 ∣ = 9

What is the answer to |x^2-20x-1|=20 ?
The answer to |x^2-20x-1|=20 is x=-1\lor x=1\lor x=19\lor x=21
Solve for x: |x^2-20x-1|=20
The solution is x=-1\lor x=1\lor x=19\lor x=21