What is the answer to 2+|5t-2|=5 ?

The answer to 2+|5t-2|=5 is t=-1/5 \lor t=1

Solve for t: 2+|5t-2|=5

The solution is t=-1/5 \lor t=1

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2 + ∣ 5 t - 2 ∣ = 5

t = - \frac{1}{5} or t = 1

Decimal Notation

t = - 0.2, t = 1

Solution steps

2 + ∣ 5 t - 2 ∣ = 5

Move

2

to the right side

∣ 5 t - 2 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 t - 2 = - 3 or 5 t - 2 = 3

5 t - 2 = - 3 or 5 t - 2 = 3

t = - \frac{1}{5} or t = 1

4^{- 4}

(3 x - 2 y)^{3} - (5 y + 3 x)^{3}

3 w - 3 - (2 w + 2) = 8

2 x^{2} = 9 x + 56

x^{2} - 3 x - 40 > 0