What is the answer to |x+4|^2+5=20 ?

The answer to |x+4|^2+5=20 is x=-sqrt(15)-4\lor x=sqrt(15)-4

Solve for x: |x+4|^2+5=20

The solution is x=-sqrt(15)-4\lor x=sqrt(15)-4

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∣ x + 4 ∣^{2} + 5 = 20

x = - 15 - 4 or x = 15 - 4

Decimal Notation

x = - 7.87298 \dots, x = - 0.12701 \dots

Solution steps

∣ x + 4 ∣^{2} + 5 = 20

Find positive and negative intervals

x < - 4, x \geq - 4

Solve the inequality for each interval

x = - 15 - 4 or x = 15 - 4

∣ 1 - 2 x ∣ = 2 x - 1

∣ 3 x - 1 ∣ + ∣ 2 x - 3 ∣ - 4 = 0

∣ x + 1 ∣ = 10

∣ x - 1 ∣ + ∣ 2 - x ∣ = 3

∣ x - 2 ∣ + ∣ x - 5 ∣ = 10

What is the answer to |x+4|^2+5=20 ?
The answer to |x+4|^2+5=20 is x=-sqrt(15)-4\lor x=sqrt(15)-4
Solve for x: |x+4|^2+5=20
The solution is x=-sqrt(15)-4\lor x=sqrt(15)-4