What is the answer to |sqrt(4x^2-1)|=0 ?

The answer to |sqrt(4x^2-1)|=0 is x=-1/2 \lor x= 1/2

Solve for x: |sqrt(4x^2-1)|=0

The solution is x=-1/2 \lor x= 1/2

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4 x^{2} - 1 = 0

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

Decimal Notation

x = - 0.5, x = 0.5

Solution steps

4 x^{2} - 1 = 0

Apply absolute rule: if

n

is even,

u > 0

then

4 x^{2} - 1 = 4 x^{2} - 1

4 x^{2} - 1 = 0

Square both sides:

4 x^{2} - 1 = 0

4 x^{2} - 1 = 0

Solve

4 x^{2} - 1 = 0 : x = \frac{1}{2}, x = - \frac{1}{2}

x = \frac{1}{2}, x = - \frac{1}{2}

Verify Solutions:

x = \frac{1}{2}

True

, x = - \frac{1}{2}

True

The solutions are

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

4 ∣ 5 x - 2 ∣ + 1 = 21

∣ 3 x + 2 ∣ = 9

∣ 8 x ∣ - 5 = 75

(2 + ∣ x - 2 ∣) = 1

- x + ∣ 2 x - 7 ∣ = 4

What is the answer to |sqrt(4x^2-1)|=0 ?
The answer to |sqrt(4x^2-1)|=0 is x=-1/2 \lor x= 1/2
Solve for x: |sqrt(4x^2-1)|=0
The solution is x=-1/2 \lor x= 1/2