What is the solution to the equation? √2x+10 -6=2

2 answers:

7 0

$\sqrt{2x+10} -6=2
$
$\sqrt{2x+10} =8$ we switched side of -6 and added it to 2
2x + 10 = 64 now we squared both sides to get rid of square root
2x = 54 we switched side of +10 and subtracted it from 64
x = 27 we divided both sides with 2

answer is x = 27

iren [92.7K]3 years ago

7 0

Answer:

27 is the solution to the equation

Step-by-step explanation:

Given the equation:

$\sqrt{2x+10}-6 = 2$

Add 6 to both sides we have;

$\sqrt{2x+10}=8$

Squaring both sides we have;

$2x+10 = 8^2$

Simplify:

$2x+10 = 64$

Subtract 10 from both sides we have;

$2x = 54$

Divide both sides by 2 we get;

x = 27

therefore, the solution to the given equation is, 27

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