What is the answer to |4x^2-1|=4x^2-1 ?

The answer to |4x^2-1|=4x^2-1 is x = 1/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|4x^2-1|=4x^2-1

4 x^{2} - 1 = 4 x^{2} - 1

x \leq - \frac{1}{2} or x \geq \frac{1}{2}

Solution steps

4 x^{2} - 1 = 4 x^{2} - 1

Find positive and negative intervals

x \leq - \frac{1}{2}, - \frac{1}{2} < x < \frac{1}{2}, x \geq \frac{1}{2}

Solve the inequality for each interval

x \leq - \frac{1}{2} or No Solution or x \geq \frac{1}{2}

Merge Overlapping Intervals

x \leq - \frac{1}{2} or x \geq \frac{1}{2}

∣ x ∣ + ∣ x + 2 ∣ = 4

∣ x ∣ + ∣ x + 2 ∣ = 3

x^{2} - 2 ∣ x ∣ = 8

∣ x ∣ + ∣ x + 2 ∣ = 2

∣ x - 2 ∣ + ∣ x - 5 ∣ = 7

What is the answer to |4x^2-1|=4x^2-1 ?
The answer to |4x^2-1|=4x^2-1 is x<=-1/2 \lor x>= 1/2
Solve for x: |4x^2-1|=4x^2-1
The solution is x<=-1/2 \lor x>= 1/2