What is the answer to |8-3x|= 9/2 ?

The answer to |8-3x|= 9/2 is x= 7/6 \lor x= 25/6

Solve for x: |8-3x|= 9/2

The solution is x= 7/6 \lor x= 25/6

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∣ 8 - 3 x ∣ = \frac{9}{2}

x = \frac{7}{6} or x = \frac{25}{6}

Solution steps

∣ 8 - 3 x ∣ = \frac{9}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

8 - 3 x = - \frac{9}{2} or 8 - 3 x = \frac{9}{2}

8 - 3 x = - \frac{9}{2} or 8 - 3 x = \frac{9}{2}

x = \frac{7}{6} or x = \frac{25}{6}

(x - 2)^{2} - 9 = 0

- 7 \cdot 2

x^{2} + 9 < 0

3 x^{2} + 13 x = 8 x + 2

16 - 49 x^{2}

What is the answer to |8-3x|= 9/2 ?
The answer to |8-3x|= 9/2 is x= 7/6 \lor x= 25/6
Solve for x: |8-3x|= 9/2
The solution is x= 7/6 \lor x= 25/6