Solve \$\sqrt(x) - 2 = 3\$.

To isolate the square root term, we must move the −2 to the other side of the equation Add 2 to both sides to isolate the square root:

\$\sqrt(x) - 2 + 2 = 3 + 2\$

Simplify:

\$\sqrt(x) = 5\$

Square Both Sides to Eliminate the Square Root

\$(\sqrt(x))^2 = 5^2\$

x = 25

Substitute x=25 back into the original equation to verify that it satisfies the equation

\$\sqrt(25) - 2 = 3\$

5 - 2 = 3

The solution to the equation \$\sqrt(x) - 2 = 3 \$ is x = 25.

7 is not a solution because substituting 7 into the equation results \$\sqrt7 - 2 ne 3\$

7

25 is not a solution because substituting 25 into the equation results \$\sqrt25 - 2 = 3\$

25

-25 is not a solution because substituting -25 into the equation results \$\sqrt-25\$ being undefined in the real number system

-25

6 is not a solution because substituting 6 into the equation results \$\sqrt6 - 2 ne 3\$

6

Option

B

Can you summarize what you’ve understood in the above steps?