What is the answer to x^2+8x+3=|x+5|+3 ?

The answer to x^2+8x+3=|x+5|+3 is x=(-9-sqrt(61))/2 \lor x=(-7+sqrt(69))/2

Solve for x: x^2+8x+3=|x+5|+3

The solution is x=(-9-sqrt(61))/2 \lor x=(-7+sqrt(69))/2

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x^{2} + 8 x + 3 = ∣ x + 5 ∣ + 3

x = \frac{- 9 - 61}{2} or x = \frac{- 7 + 69}{2}

Decimal Notation

x = - 8.40512 \dots, x = 0.65331 \dots

Solution steps

x^{2} + 8 x + 3 = ∣ x + 5 ∣ + 3

Find positive and negative intervals

x < - 5, x \geq - 5

Solve the inequality for each interval

x = \frac{- 9 - 61}{2} or x = \frac{- 7 + 69}{2}

2 ∣ x + 4 ∣ = 12

2 ∣ x + 4 ∣ = 20

∣ 3 r + 10 ∣ = 20

3 - ∣ 3 x + 9 ∣ = 6

- 2 ∣ x ∣ = 10

What is the answer to x^2+8x+3=|x+5|+3 ?
The answer to x^2+8x+3=|x+5|+3 is x=(-9-sqrt(61))/2 \lor x=(-7+sqrt(69))/2
Solve for x: x^2+8x+3=|x+5|+3
The solution is x=(-9-sqrt(61))/2 \lor x=(-7+sqrt(69))/2