What is the answer to x^2+5x-5=|x+1|+3 ?

The answer to x^2+5x-5=|x+1|+3 is x=-7\lor x=-2+sqrt(13)

Solve for x: x^2+5x-5=|x+1|+3

The solution is x=-7\lor x=-2+sqrt(13)

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x^{2} + 5 x - 5 = ∣ x + 1 ∣ + 3

x = - 7 or x = - 2 + 13

Decimal Notation

x = - 7, x = 1.60555 \dots

Solution steps

x^{2} + 5 x - 5 = ∣ x + 1 ∣ + 3

Find positive and negative intervals

x < - 1, x \geq - 1

Solve the inequality for each interval

x = - 7 or x = - 2 + 13

- 7 + 10 ∣ 7 x + 9 ∣ = - 57

∣ 7 x + 4 ∣ - 10 = - 3

x^{2} - 10 x + 20 = 4

3 ∣ m ∣ = 15

x - ∣ 2 x - 3 (x - 4) ∣ = 5

What is the answer to x^2+5x-5=|x+1|+3 ?
The answer to x^2+5x-5=|x+1|+3 is x=-7\lor x=-2+sqrt(13)
Solve for x: x^2+5x-5=|x+1|+3
The solution is x=-7\lor x=-2+sqrt(13)