Question

What is the solution to the equation? Sqrt. 2x+10-6=2 Please show all steps

Answer 1

Answer: x = 27

Solution, showing all steps:

1) equation:   $\sqrt{2x+10}-6=2$

2) Clear the square root:

=>    $\sqrt{2x+10} =2+6$

=>    $\sqrt{2x+10} =8$

3) Square both sides of the equality:

=> $2x + 10 = 8^2=64$

4) Clear x:

2x  = 64 - 10

2x = 54

x = 54 / 2

x = 27.

5) Verify that this is not a straneous solutio, by replacing the solution in the equation:

$\sqrt{2(27)+10} -6= 2 \sqrt{54+10}-6=2 \sqrt{64} -6=2 8-6=2 2=2$