What is the answer to sqrt(x)-6\sqrt[4]{x}+8=0 ?

The answer to sqrt(x)-6\sqrt[4]{x}+8=0 is x=256,x=16

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sqrt(x)-6\sqrt[4]{x}+8=0

x = 256, x = 16

Solution steps

Use the following exponent property

Rewrite the equation with

u^{2} - 6 u + 8 = 0

Solve

u^{2} - 6 u + 8 = 0 : u = 4, u = 2

u = 4, u = 2

Substitute back

solve for

x

Solve

x = 256, x = 16

Verify Solutions:

x = 256

True

, x = 16

True

The solutions are

x = 256, x = 16

2 x + 7 - 13 = - 12

- 2 x + 21 = x - 3

c, 4 + c = 5

125 = r^{2.5}

x, x^{\frac{3}{2}} = 125

What is the answer to sqrt(x)-6\sqrt[4]{x}+8=0 ?
The answer to sqrt(x)-6\sqrt[4]{x}+8=0 is x=256,x=16
Solve for x: sqrt(x)-6\sqrt[4]{x}+8=0
The solution is x=256,x=16