SOLUTION: can you please help me solve this question:(((One eighth of the square root of 7 less than a number is 2. what is the number? )))

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Question 176370This question is from textbook algebra structure and method
: can you please help me solve this question:(((One eighth of the square root of 7 less than a number is 2. what is the number? ))) This question is from textbook algebra structure and method

Answer by Mathtut(3670)   (Show Source): You can put this solution on YOUR website!

:
multiplied all terms by 8
:
adjusted terms so sqrt was isolated
:
squared both sides
:
multiplied terms
:
combined terms and place all terms on one side
:
2.33 is the answer
:
1.67 is and extraneous root
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=1792 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 2.33071891388307, 1.66928108611693. Here's your graph:
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