What is the answer to z^2+2|z|=1 ?

The answer to z^2+2|z|=1 is z=1-sqrt(2)\lor z=-1+sqrt(2)

Solve for z: z^2+2|z|=1

The solution is z=1-sqrt(2)\lor z=-1+sqrt(2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

z^{2} + 2 ∣ z ∣ = 1

z = 1 - 2 or z = - 1 + 2

Decimal

z = - 0.41421 \dots, z = 0.41421 \dots

Solution steps

z^{2} + 2 ∣ z ∣ = 1

Find positive and negative intervals

z < 0, z \geq 0

Solve the inequality for each interval

z = 1 - 2 or z = - 1 + 2

- ∣ b + 6 ∣ = ∣ 3 b - 2 ∣

x^{2} - 2 ∣ x ∣ - 1 = 0

∣ x - 3 ∣ = ∣ x + 3 ∣

∣ x + 1 ∣ = (x - 41)^{2}

10 - ∣ 3 x + 2 ∣ = 7

What is the answer to z^2+2|z|=1 ?
The answer to z^2+2|z|=1 is z=1-sqrt(2)\lor z=-1+sqrt(2)
Solve for z: z^2+2|z|=1
The solution is z=1-sqrt(2)\lor z=-1+sqrt(2)