What is the answer to sqrt(p)-2\sqrt[4]{p}-8=0 ?

The answer to sqrt(p)-2\sqrt[4]{p}-8=0 is p=256

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sqrt(p)-2\sqrt[4]{p}-8=0

p = 256

Solution steps

Use the following exponent property

Rewrite the equation with

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

Solve

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

u = 4, u = - 2

Substitute back

solve for

p

Solve

No Solution for

p \in R

p = 256

Verify Solutions:

p = 256

True

The solution is

p = 256

x + 1 = 3

2 x - 3 = 1

x + 34 = 40

39 - 7 x = x - 7

(x + 1) \cdot (2 x - 4) = x + 1

What is the answer to sqrt(p)-2\sqrt[4]{p}-8=0 ?
The answer to sqrt(p)-2\sqrt[4]{p}-8=0 is p=256
Solve for p: sqrt(p)-2\sqrt[4]{p}-8=0
The solution is p=256