Question

What is the solution to the equation ^4sqrtx - 4 = 3

-8

16

85

no solution

Answer 1

x = 85

Explanation:

This should be your equation:

`\displaystyle{\sqrt[4]{x-4}=3}`

Add the power of 4 on both sides; this will also cancel the quartic root and evaluate 3⁴ on the right side:

`\displaystyle{x-4=3^4}\\\\\displaystyle{x-4=81}\\\\\displaystyle{x=81+4}\\\\\displaystyle{x=85}`

Therefore, the value of x is 85.