What is the answer to |x^2+6x|=5 ?

The answer to |x^2+6x|=5 is x=-3-sqrt(14)\lor x=-5\lor x=-1\lor x=-3+sqrt(14)

Solve for x: |x^2+6x|=5

The solution is x=-3-sqrt(14)\lor x=-5\lor x=-1\lor x=-3+sqrt(14)

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x^{2} + 6 x = 5

x = - 3 - 14 or x = - 5 or x = - 1 or x = - 3 + 14

Decimal

x = - 6.74165 \dots, x = - 5, x = - 1, x = 0.74165 \dots

Solution steps

x^{2} + 6 x = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x^{2} + 6 x = - 5 or x^{2} + 6 x = 5

x^{2} + 6 x = - 5 or x^{2} + 6 x = 5

(x = - 5 or x = - 1) or (x = - 3 - 14 or x = - 3 + 14)

x = - 3 - 14 or x = - 5 or x = - 1 or x = - 3 + 14

3 ∣ n - 5 ∣ - 14 = - 2

x^{2} + x = 0

∣ 3 x - 1 ∣ = ∣ 2 x + 6 ∣

∣ x + 2 ∣ + ∣ x - 3 ∣ = 4

∣ x - 3 ∣ + x^{2} - 1 = 8

What is the answer to |x^2+6x|=5 ?
The answer to |x^2+6x|=5 is x=-3-sqrt(14)\lor x=-5\lor x=-1\lor x=-3+sqrt(14)
Solve for x: |x^2+6x|=5
The solution is x=-3-sqrt(14)\lor x=-5\lor x=-1\lor x=-3+sqrt(14)