What is the answer to |4x-9|-6=2 ?

The answer to |4x-9|-6=2 is x= 1/4 \lor x= 17/4

Solve for x: |4x-9|-6=2

The solution is x= 1/4 \lor x= 17/4

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∣ 4 x - 9 ∣ - 6 = 2

x = \frac{1}{4} or x = \frac{17}{4}

Solution steps

∣ 4 x - 9 ∣ - 6 = 2

Move

6

to the right side

∣ 4 x - 9 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x - 9 = - 8 or 4 x - 9 = 8

4 x - 9 = - 8 or 4 x - 9 = 8

x = \frac{1}{4} or x = \frac{17}{4}

\frac{3}{5 - 2}

2 x^{2} + 128 = 0

- 5 (- 3 x + 1) = - 45

\frac{u ^{5 x + 1}}{u ^{x}}

v^{2} + 4 v + 4

What is the answer to |4x-9|-6=2 ?
The answer to |4x-9|-6=2 is x= 1/4 \lor x= 17/4
Solve for x: |4x-9|-6=2
The solution is x= 1/4 \lor x= 17/4