What is the answer to |x|=(8(1/2)^3+1)/4 ?

The answer to |x|=(8(1/2)^3+1)/4 is x=-(8(1/2)^3+1)/4 \lor x=(8(1/2)^3+1)/4

Solve for x: |x|=(8(1/2)^3+1)/4

The solution is x=-(8(1/2)^3+1)/4 \lor x=(8(1/2)^3+1)/4

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∣ x ∣ = \frac{8 ( \frac{1}{2} ) ^{3} + 1}{4}

x = - \frac{8 ( \frac{1}{2} ) ^{3} + 1}{4} or x = \frac{8 ( \frac{1}{2} ) ^{3} + 1}{4}

Solution steps

∣ x ∣ = \frac{8 ( \frac{1}{2} ) ^{3} + 1}{4}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x = - \frac{8 ( \frac{1}{2} ) ^{3} + 1}{4} or x = \frac{8 ( \frac{1}{2} ) ^{3} + 1}{4}

x^{2} - 3 ∣ x ∣ - 4 = 0

x^{2} - x = x^{2} - x

∣ x ∣ - ∣ x - 2 ∣ = 2

∣ 3 x + 1 ∣ = ∣ 7 x - 3 ∣

∣ x - 3 ∣ + ∣ 7 + x ∣ - ∣ 1 - 3 x ∣ = 15

What is the answer to |x|=(8(1/2)^3+1)/4 ?
The answer to |x|=(8(1/2)^3+1)/4 is x=-(8(1/2)^3+1)/4 \lor x=(8(1/2)^3+1)/4
Solve for x: |x|=(8(1/2)^3+1)/4
The solution is x=-(8(1/2)^3+1)/4 \lor x=(8(1/2)^3+1)/4