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

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

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

The solution is x=-sqrt(5)\lor x=-1\lor x=sqrt(5)

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x^{2} + x - 2 = x + 3

x = - 5 or x = - 1 or x = 5

Decimal Notation

x = - 2.23606 \dots, x = - 1, x = 2.23606 \dots

Solution steps

x^{2} + x - 2 = x + 3

Find positive and negative intervals

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

Solve the inequality for each interval

x = - 5 or x = - 1 or x = 5

17 = 3 ∣ z + 3 ∣ - 4

∣ x + 1 ∣ + 9 = 4

∣ x + 1 ∣ + 9 = 6

∣ 3 r - 5 ∣ = 14

∣ 2 x - 4 ∣ = 13

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