What is the answer to x^2-8x+1=-2|4-x| ?

The answer to x^2-8x+1=-2|4-x| is x=1\lor x=7

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x^2-8x+1=-2|4-x|

x^{2} - 8 x + 1 = - 2 ∣ 4 - x ∣

x = 1 or x = 7

Solution steps

x^{2} - 8 x + 1 = - 2 ∣ 4 - x ∣

Find positive and negative intervals

x \leq 4, x > 4

Solve the inequality for each interval

x = 1 or x = 7

3 - 2 ∣ 3 x - 4 ∣ = 8 x - 3

∣ x - 1 ∣ - 6 = 5

\frac{∣ 9 - x ∣}{20} = 0.1915

∣ 5 x + 2 ∣ = 18

\frac{∣ x - 5 ∣}{6} = 8

What is the answer to x^2-8x+1=-2|4-x| ?
The answer to x^2-8x+1=-2|4-x| is x=1\lor x=7
Solve for x: x^2-8x+1=-2|4-x|
The solution is x=1\lor x=7