What is the answer to 4096sqrt(x)=64x^2 ?

The answer to 4096sqrt(x)=64x^2 is x=0,x=16

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4096sqrt(x)=64x^2

4096 x = 64 x^{2}

x = 0, x = 16

Solution steps

4096 x = 64 x^{2}

Use the following exponent property

x^{2} = (x)^{(2 \cdot 2)}

4096 x = 64 (x)^{4}

Rewrite the equation with

x = u

4096 u = 64 u^{4}

Solve

4096 u = 64 u^{4} : u = 0, u = 4

u = 0, u = 4

Substitute back

u = x,

solve for

x

Solve

x = 0 : x = 0

Solve

x = 4 : x = 16

x = 0, x = 16

Verify Solutions:

x = 0

True

, x = 16

True

The solutions are

x = 0, x = 16

21 - x = x - 1

x - 1 + x = 2

6 = 121 - x

(\frac{1 - x}{x}) = 2.59

2 x + 3 - 2 + 2 = 2

What is the answer to 4096sqrt(x)=64x^2 ?
The answer to 4096sqrt(x)=64x^2 is x=0,x=16
Solve for x: 4096sqrt(x)=64x^2
The solution is x=0,x=16