What is the answer to 0=2.5\sqrt[4]{x}-sqrt(x)-1 ?

The answer to 0=2.5\sqrt[4]{x}-sqrt(x)-1 is x= 1/16 ,x=16

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0=2.5\sqrt[4]{x}-sqrt(x)-1

x = \frac{1}{16}, x = 16

Decimal Notation

x = 0.0625, x = 16

Solution steps

Use the following exponent property

Rewrite the equation with

0 = 2.5 u - u^{2} - 1

Solve

0 = 2.5 u - u^{2} - 1 : u = \frac{1}{2}, u = 2

u = \frac{1}{2}, u = 2

Substitute back

solve for

x

Solve

x = \frac{1}{16}, x = 16

Verify Solutions:

x = \frac{1}{16}

True

, x = 16

True

The solutions are

x = \frac{1}{16}, x = 16

4 x = 2 x - 3

5 x - 2 = x + 9

3 = 12 x - 36 \cdot x^{2} + 9

x - 4 x - 20 = 20

What is the answer to 0=2.5\sqrt[4]{x}-sqrt(x)-1 ?
The answer to 0=2.5\sqrt[4]{x}-sqrt(x)-1 is x= 1/16 ,x=16
Solve for x: 0=2.5\sqrt[4]{x}-sqrt(x)-1
The solution is x= 1/16 ,x=16