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 ∣ \cdot ∣ 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}

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

x^{2} - 20 x + 100

5 x^{3} - 30 x^{2} + 25 x

π \cdot 1 0^{2}

x^{2} - 16 x + 60 = 0

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