What is the answer to x^2+3x-15=|x+3|+8 ?

The answer to x^2+3x-15=|x+3|+8 is x=-2(1+sqrt(6))\lor x=-1+3sqrt(3)

Solve for x: x^2+3x-15=|x+3|+8

The solution is x=-2(1+sqrt(6))\lor x=-1+3sqrt(3)

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x^{2} + 3 x - 15 = ∣ x + 3 ∣ + 8

x = - 2 (1 + 6) or x = - 1 + 33

Decimal Notation

x = - 6.89897 \dots, x = 4.19615 \dots

Solution steps

x^{2} + 3 x - 15 = ∣ x + 3 ∣ + 8

Find positive and negative intervals

x < - 3, x \geq - 3

Solve the inequality for each interval

x = - 2 (1 + 6) or x = - 1 + 33

- \frac{1}{2} x = 4

m, k = ∣ m ∣ + 3

∣ y - 1 ∣ = 36

∣ - 3 x - 1 ∣ - 7 = 18

∣ 2 x + 5 ∣ - 23 = - 23

What is the answer to x^2+3x-15=|x+3|+8 ?
The answer to x^2+3x-15=|x+3|+8 is x=-2(1+sqrt(6))\lor x=-1+3sqrt(3)
Solve for x: x^2+3x-15=|x+3|+8
The solution is x=-2(1+sqrt(6))\lor x=-1+3sqrt(3)