What is the answer to 8-x^2=1+3|x-1| ?

The answer to 8-x^2=1+3|x-1| is x=-1\lor x=2

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8-x^2=1+3|x-1|

8 - x^{2} = 1 + 3 ∣ x - 1 ∣

x = - 1 or x = 2

Solution steps

8 - x^{2} = 1 + 3 ∣ x - 1 ∣

Find positive and negative intervals

x < 1, x \geq 1

Solve the inequality for each interval

x = - 1 or x = 2

∣ 2 x - 6 ∣ = 10

∣ x - 3 ∣ = 2 x + 4

8 - 8 ∣ 6 + 3 x ∣ = - 88

- 3 ∣ x - 2 ∣ + 4 = - \frac{1}{2}

∣ 9 x + 20 ∣ = 38

What is the answer to 8-x^2=1+3|x-1| ?
The answer to 8-x^2=1+3|x-1| is x=-1\lor x=2
Solve for x: 8-x^2=1+3|x-1|
The solution is x=-1\lor x=2