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Blog Post
Home Solve for the real value of x
admin321@@ March 23, 2021 2 Comments
403 Views
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Solve for the real value of x

Document Solve the equation for $x\in \mathbf{R}$

$\sqrt{x+15}+\sqrt{x}=15$

This is how to solve this type of question
$\sqrt{x+15}+\sqrt{x}=15 $        (1)

$(\sqrt{x+15}+\sqrt{x})+ (\sqrt{x+15}-\sqrt{x})=15(\sqrt{x+15}-\sqrt{x}) $

$x+15-x=15(\sqrt{x+15}-\sqrt{x})$

$15=15(\sqrt{x+15}-\sqrt{x})$

$\sqrt{x+15}-\sqrt{x}=1 $        (2)

Using equation (1) and (2)
$\sqrt[2]{x+15}=16$

$\sqrt{x+15}=8$

$x+15=8$

$x=49$
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