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Q. 33

Expert-verifiedFound in: Page 29

Book edition
6th

Author(s)
Sullivan

Pages
1200 pages

ISBN
9780321795465

In Problem 17-36, solve each equation algebraically. Verify your solution using a graphing utility.

$\sqrt{x+1}=4$

The required solution is $x=15$. The graph of the solution is given below:

We have:

$\sqrt{x+1}=4$

The equation is $\sqrt{x+1}=4$.

Square on both sides:

${\left(\sqrt{x+1}\right)}^{2}={\left(4\right)}^{2}\phantom{\rule{0ex}{0ex}}x+1=16\phantom{\rule{0ex}{0ex}}x=16-1\phantom{\rule{0ex}{0ex}}x=15$

The solution of the equation is $x=15$.

Draw the graph of the equation $\sqrt{x+1}=4$ using the graphing utility:

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