What is the answer to (x-4)^2-5|x-4|=-6 ?

The answer to (x-4)^2-5|x-4|=-6 is x=1\lor x=2\lor x=6\lor x=7

Solve for x: (x-4)^2-5|x-4|=-6

The solution is x=1\lor x=2\lor x=6\lor x=7

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(x - 4)^{2} - 5 ∣ x - 4 ∣ = - 6

x = 1 or x = 2 or x = 6 or x = 7

Solution steps

(x - 4)^{2} - 5 ∣ x - 4 ∣ = - 6

Find positive and negative intervals

x < 4, x \geq 4

Solve the inequality for each interval

(x = 1 or x = 2) or (x = 6 or x = 7)

x = 1 or x = 2 or x = 6 or x = 7

∣ 2 x + 4 ∣ \leq 2

\frac{X}{2 + X} < 1

\frac{1}{5} x = 4

3 x^{2} - 9 x - 30

x^{2} - 4 x + 11 = 0

What is the answer to (x-4)^2-5|x-4|=-6 ?
The answer to (x-4)^2-5|x-4|=-6 is x=1\lor x=2\lor x=6\lor x=7
Solve for x: (x-4)^2-5|x-4|=-6
The solution is x=1\lor x=2\lor x=6\lor x=7