What is the answer to (x^2+x+2)+|x+1|=5 ?

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

Solve for x: (x^2+x+2)+|x+1|=5

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

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(x^{2} + x + 2) + ∣ x + 1 ∣ = 5

x = - 2 or x = - 1 + 3

Solution steps

x^{2} + x + 2 + ∣ x + 1 ∣ = 5

Find positive and negative intervals

x < - 1, x \geq - 1

Solve the inequality for each interval

x = - 2 or x = - 1 + 3

∣ x - 1 ∣ - ∣ x - 2 ∣ + ∣ x - 3 ∣ = 5 x - 1

\frac{( 3 x + 4 )}{3} = 7

∣ x - 4 ∣ + ∣ x - 7 ∣ = 11

x ∣ x ∣ + 7 x - 8 = 0

2 ∣ (x - 2) (x - 5) ∣ = (x - 3)^{2}

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