What is the answer to |4x-3|=5sqrt(x+4) ?

The answer to |4x-3|=5sqrt(x+4) is x=(49-5sqrt(329))/(32)\lor x=(49+5sqrt(329))/(32)

Solve for x: |4x-3|=5sqrt(x+4)

The solution is x=(49-5sqrt(329))/(32)\lor x=(49+5sqrt(329))/(32)

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∣ 4 x - 3 ∣ = 5 x + 4

x = \frac{49 - 5 329}{32} or x = \frac{49 + 5 329}{32}

Decimal Notation

x = - 1.30286 \dots, x = 4.36536 \dots

Solution steps

∣ 4 x - 3 ∣ = 5 x + 4

Find positive and negative intervals

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

Solve the inequality for each interval

x = \frac{49 - 5 329}{32} or x = \frac{49 + 5 329}{32}

8 ∣ w - 7 ∣ = 72

2 ∣ 4 x - 5 ∣ - 2 = - 4

2 ∣ - 2 x - 4 ∣ = - 8

∣ c - 24 ∣ = 7 c

∣ 2 x + 1 ∣ = x - 3

What is the answer to |4x-3|=5sqrt(x+4) ?
The answer to |4x-3|=5sqrt(x+4) is x=(49-5sqrt(329))/(32)\lor x=(49+5sqrt(329))/(32)
Solve for x: |4x-3|=5sqrt(x+4)
The solution is x=(49-5sqrt(329))/(32)\lor x=(49+5sqrt(329))/(32)