SOLUTION: Find all solutions algebraically for the equation:
(square root of x-10)-4=0
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Question 95952This question is from textbook Precalculus with limits
: Find all solutions algebraically for the equation:
(square root of x-10)-4=0
This question is from textbook Precalculus with limits
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
Given:
.
.
Get rid of the -4 on the left side by adding +4 to both sides to get:
.
.
Square both sides of this equation. The left side becomes and the right side becomes
. So the equation now is:
.
.
Get rid of the -10 on the left side by adding 10 to both sides to get:
.
.
Check this result by substituting 26 for x in the given equation to get:
.
.
This reduces to:
.
.
The square root of 16 is +4 so the equation becomes:
.
.
And this works. So x = 26 is a correct answer.
.
Hope this helps you to understand and work the problem.
.
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