What is the answer to |x-2|= 1/4 ?

The answer to |x-2|= 1/4 is x= 7/4 \lor x= 9/4

Solve for x: |x-2|= 1/4

The solution is x= 7/4 \lor x= 9/4

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Popular >

∣ x - 2 ∣ = \frac{1}{4}

x = \frac{7}{4} or x = \frac{9}{4}

Decimal Notation

x = 1.75, x = 2.25

Solution steps

∣ x - 2 ∣ = \frac{1}{4}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 2 = - \frac{1}{4} or x - 2 = \frac{1}{4}

x - 2 = - \frac{1}{4} or x - 2 = \frac{1}{4}

x = \frac{7}{4} or x = \frac{9}{4}

3 x^{2} - 11 x - 20

6 x = 0

4 v^{2} + 4 v - 3 = 0

x^{2} - 8 x + 8 = 0

What is the answer to |x-2|= 1/4 ?
The answer to |x-2|= 1/4 is x= 7/4 \lor x= 9/4
Solve for x: |x-2|= 1/4
The solution is x= 7/4 \lor x= 9/4