What is the answer to |x^2+6x-1|=6 ?

The answer to |x^2+6x-1|=6 is x=-7\lor x=-5\lor x=-1\lor x=1

Solve for x: |x^2+6x-1|=6

The solution is x=-7\lor x=-5\lor x=-1\lor x=1

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x^{2} + 6 x - 1 = 6

x = - 7 or x = - 5 or x = - 1 or x = 1

Solution steps

x^{2} + 6 x - 1 = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x^{2} + 6 x - 1 = - 6 or x^{2} + 6 x - 1 = 6

x^{2} + 6 x - 1 = - 6 or x^{2} + 6 x - 1 = 6

(x = - 5 or x = - 1) or (x = - 7 or x = 1)

x = - 7 or x = - 5 or x = - 1 or x = 1

- ∣ 2 x - 8 ∣ - 6 = - 12

x^{2} + 7 x - 1 = ∣ x + 2 ∣ + 9

∣ 16 x + 12 ∣ = 8

∣ 6 - 2 x ∣ + 7 = 12 x + 7

∣ x + 3 ∣ = 6

What is the answer to |x^2+6x-1|=6 ?
The answer to |x^2+6x-1|=6 is x=-7\lor x=-5\lor x=-1\lor x=1
Solve for x: |x^2+6x-1|=6
The solution is x=-7\lor x=-5\lor x=-1\lor x=1