Question

What is the value of the positive solution to the equation2(x – 4)2 = 50?=

Answer 1

The solution is found as

`\begin{gathered} 2(x-4)^2=50 \\ \text{Divide both sides by 2} \\ (x-4)^2=25 \\ \text{Take square root of both sides.} \\ x-4=\pm5 \\ \text{The square root of 25 have values +5 and -5. } \end{gathered}`
`\begin{gathered} x-4\text{ =5} \\ x=5+4=9 \\ \\ x-4=-5 \\ x=-5+4=-1 \\ \text{The solutions to equation are x=9and x=-1. But, the positive solution is x=9.} \end{gathered}`

The positive solution to given equation is x=9.