What is the answer to |3x-5|=x^2-x-2 ?

The answer to |3x-5|=x^2-x-2 is x=-1-2sqrt(2)\lor x=3

Solve for x: |3x-5|=x^2-x-2

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

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∣ 3 x - 5 ∣ = x^{2} - x - 2

x = - 1 - 22 or x = 3

Decimal Notation

x = - 3.82842 \dots, x = 3

Solution steps

∣ 3 x - 5 ∣ = x^{2} - x - 2

Find positive and negative intervals

x < \frac{5}{3}, x \geq \frac{5}{3}

Solve the inequality for each interval

x = - 1 - 22 or x = 3

∣ 4 x - 5 ∣ = 21

x^{2} + 5 ∣ x ∣ + 6 = 0

∣ 2 (x - 6) ∣ = 5

∣ m + 4 ∣ - 8 = 3

0 = ∣ - 8 j ∣

What is the answer to |3x-5|=x^2-x-2 ?
The answer to |3x-5|=x^2-x-2 is x=-1-2sqrt(2)\lor x=3
Solve for x: |3x-5|=x^2-x-2
The solution is x=-1-2sqrt(2)\lor x=3