What is the answer to |3x-4|=2.5sqrt(3-x) ?

The answer to |3x-4|=2.5sqrt(3-x) is x=(71-5sqrt(265))/(72)\lor x=(71+5sqrt(265))/(72)

Solve for x: |3x-4|=2.5sqrt(3-x)

The solution is x=(71-5sqrt(265))/(72)\lor x=(71+5sqrt(265))/(72)

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∣ 3 x - 4 ∣ = 2.5 3 - x

x = \frac{71 - 5 265}{72} or x = \frac{71 + 5 265}{72}

Decimal

x = - 0.14436 \dots, x = 2.11658 \dots

Solution steps

∣ 3 x - 4 ∣ = 2.5 3 - x

Find positive and negative intervals

x < \frac{4}{3}, x \geq \frac{4}{3}

Solve the inequality for each interval

x = \frac{71 - 5 265}{72} or x = \frac{71 + 5 265}{72}

2 ∣ 3 x - 6 ∣ = 6

∣ x + 8 ∣ = ∣ 2 x + 1 ∣

x, ∣ - 3 x + 9 ∣ = 1

3 ∣ x + 5 ∣ - 2 = 0

∣ x ∣ = 925

What is the answer to |3x-4|=2.5sqrt(3-x) ?
The answer to |3x-4|=2.5sqrt(3-x) is x=(71-5sqrt(265))/(72)\lor x=(71+5sqrt(265))/(72)
Solve for x: |3x-4|=2.5sqrt(3-x)
The solution is x=(71-5sqrt(265))/(72)\lor x=(71+5sqrt(265))/(72)