(x+16)^2/9=7.

1 answer

To solve the equation, we can start by multiplying both sides by 9 to eliminate the fraction:

9(x+16)^2/9 = 7 * 9

Simplifying:

(x+16)^2 = 63

To continue solving, we'll take the square root of both sides:

√((x+16)^2) = √63

x+16 = ±√63

Now we can solve for x by subtracting 16 from both sides:

x = ±√63 - 16

Therefore, the solutions for x are x = √63 - 16 and x = -√63 - 16.