Question

Solve for x, given the equation Square root of x plus 9 − 4 = 1.

Answer 1

x = 16, solution is not extraneous

Step-by-step explanation: took test

Answer 2

ANSWER

The value of x is

`16.`


Step-by-step explanation

We want to solve the equation,



`√(x + 9) - 4 = 1`

The first step is to add 4 to both sides of the equation to obtain,



`√(x + 9) = 1 + 4`



We simplify the right hand side to obtain,



`√(x + 9) = 5`



We now square both sides of the equation to obtain,




`(√(x + 9) ) ^(2) = {5}^(2)`



This simplifies to



`x + 9= 25`



We solve for x to obtain,




`x = 25 - 9`


This implies that,



`x = 16`