Example

3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b

Question

$$\sqrt{x-5}=-6$$

Answer

[No Solution]

Solution


Square both sides.
\[x-5=36\]
Add \(5\) to both sides.
\[x=36+5\]
Simplify  \(36+5\)  to  \(41\).
\[x=41\]
Check solution
When \(x=41\), the original equation \(\sqrt{x-5}=-6\) does not hold true.We will drop \(x=41\) from the solution set.
Therefore,
No solution exists.
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