What is the answer to 16a^2=2sqrt(a) ?

The answer to 16a^2=2sqrt(a) is a=0,a= 1/4

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16a^2=2sqrt(a)

16 a^{2} = 2 a

a = 0, a = \frac{1}{4}

Decimal Notation

a = 0, a = 0.25

Solution steps

16 a^{2} = 2 a

Square both sides:

256 a^{4} = 4 a

256 a^{4} = 4 a

Solve

256 a^{4} = 4 a : a = 0, a = \frac{1}{4}

a = 0, a = \frac{1}{4}

Verify Solutions:

a = 0

True

, a = \frac{1}{4}

True

The solutions are

a = 0, a = \frac{1}{4}

(x - 1)^{2} = 1 - x

9 x + 1 = 4 x

4 x - 1 = 9 - x

4 x + 9 = 8 x + 2

What is the answer to 16a^2=2sqrt(a) ?
The answer to 16a^2=2sqrt(a) is a=0,a= 1/4
Solve for a: 16a^2=2sqrt(a)
The solution is a=0,a= 1/4