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

The answer to |x|+x^2=3x is x=0\lor x=2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|x|+x^2=3x

∣ x ∣ + x^{2} = 3 x

x = 0 or x = 2

Solution steps

∣ x ∣ + x^{2} = 3 x

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

No Solution or (x = 0 or x = 2)

x = 0 or x = 2

x^{2} - ∣ x ∣ + 1 = 0

3 x^{2} - 10 = - 1

∣ 4 b - 5 ∣ = 1

\frac{x - 2}{3} = 1

10 - ∣ 2 x - 3 ∣ = 7