What is the answer to |x-2||x+4|=3 ?

The answer to |x-2||x+4|=3 is x=-1-2sqrt(3)\lor x=-1-sqrt(6)\lor x=sqrt(6)-1\lor x=-1+2sqrt(3)

Solve for x: |x-2||x+4|=3

The solution is x=-1-2sqrt(3)\lor x=-1-sqrt(6)\lor x=sqrt(6)-1\lor x=-1+2sqrt(3)

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∣ x - 2 ∣ ∣ x + 4 ∣ = 3

x = - 1 - 23 or x = - 1 - 6 or x = 6 - 1 or x = - 1 + 23

Decimal

x = - 4.46410 \dots, x = - 3.44948 \dots, x = 1.44948 \dots, x = 2.46410 \dots

Solution steps

∣ x - 2 ∣ ∣ x + 4 ∣ = 3

Find positive and negative intervals

x < - 4, - 4 \leq x < 2, x \geq 2

Solve the inequality for each interval

x = - 1 - 23 or (x = - 1 - 6 or x = 6 - 1) or x = - 1 + 23

x = - 1 - 23 or x = - 1 - 6 or x = 6 - 1 or x = - 1 + 23

2 \frac{x}{5} - 1 = 7

4 ∣ 4 x - 3 ∣ = 24

∣ 7 - 3 x ∣ + 10 = 8

y, x = ∣ 5 y ∣

∣ x + 1 ∣ - ∣ x ∣ = 0

What is the answer to |x-2||x+4|=3 ?
The answer to |x-2||x+4|=3 is x=-1-2sqrt(3)\lor x=-1-sqrt(6)\lor x=sqrt(6)-1\lor x=-1+2sqrt(3)
Solve for x: |x-2||x+4|=3
The solution is x=-1-2sqrt(3)\lor x=-1-sqrt(6)\lor x=sqrt(6)-1\lor x=-1+2sqrt(3)