What is the answer to |x^2-100|=99 ?

The answer to |x^2-100|=99 is x=-sqrt(199)\lor x=-1\lor x=1\lor x=sqrt(199)

Solve for x: |x^2-100|=99

The solution is x=-sqrt(199)\lor x=-1\lor x=1\lor x=sqrt(199)

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x^{2} - 100 = 99

x = - 199 or x = - 1 or x = 1 or x = 199

Decimal

x = - 14.10673 \dots, x = - 1, x = 1, x = 14.10673 \dots

Solution steps

x^{2} - 100 = 99

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x^{2} - 100 = - 99 or x^{2} - 100 = 99

x^{2} - 100 = - 99 or x^{2} - 100 = 99

(x = - 1 or x = 1) or (x = - 199 or x = 199)

x = - 199 or x = - 1 or x = 1 or x = 199

x^{2} - 22 x + 2 = 18

∣ 5 x + 1 ∣ = 5

2 ∣ x - 1 ∣ - 8 = 6

u, ∣ 2 u + 14 ∣ = - 6

6 ∣ r - 1 ∣ = 0

What is the answer to |x^2-100|=99 ?
The answer to |x^2-100|=99 is x=-sqrt(199)\lor x=-1\lor x=1\lor x=sqrt(199)
Solve for x: |x^2-100|=99
The solution is x=-sqrt(199)\lor x=-1\lor x=1\lor x=sqrt(199)