What is the answer to |4x-3|=17 ?

The answer to |4x-3|=17 is x=-7/2 \lor x=5

Solve for x: |4x-3|=17

The solution is x=-7/2 \lor x=5

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∣ 4 x - 3 ∣ = 17

x = - \frac{7}{2} or x = 5

Solution steps

∣ 4 x - 3 ∣ = 17

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x - 3 = - 17 or 4 x - 3 = 17

4 x - 3 = - 17 or 4 x - 3 = 17

x = - \frac{7}{2} or x = 5

4 c = 64

3 x^{2} + 12 x + 17 = 5

\frac{1}{x} + \frac{1}{1 - x} > 0

6 x^{2} + 12 x

- ∣ 4 x - 7 ∣ \geq 3