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

The answer to |x-1||x+2|=3 is x=(-1-sqrt(21))/2 \lor x=(-1+sqrt(21))/2

Solve for x: |x-1||x+2|=3

The solution is x=(-1-sqrt(21))/2 \lor x=(-1+sqrt(21))/2

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∣ x - 1 ∣ ∣ x + 2 ∣ = 3

x = \frac{- 1 - 21}{2} or x = \frac{- 1 + 21}{2}

Decimal

x = - 2.79128 \dots, x = 1.79128 \dots

Solution steps

∣ x - 1 ∣ ∣ x + 2 ∣ = 3

Find positive and negative intervals

x < - 2, - 2 \leq x < 1, x \geq 1

Solve the inequality for each interval

x = \frac{- 1 - 21}{2} or No Solution or x = \frac{- 1 + 21}{2}

x = \frac{- 1 - 21}{2} or x = \frac{- 1 + 21}{2}

9 - 2 ∣ 4 x - 2 ∣ = 7

42 - ∣ x ∣ = 15

∣ 2 x - 5 ∣ = - 8

∣ x ∣ + ∣ 2 x + 3 ∣ = 4

4 ∣ k + 1 ∣ = 16

What is the answer to |x-1||x+2|=3 ?
The answer to |x-1||x+2|=3 is x=(-1-sqrt(21))/2 \lor x=(-1+sqrt(21))/2
Solve for x: |x-1||x+2|=3
The solution is x=(-1-sqrt(21))/2 \lor x=(-1+sqrt(21))/2