Solve the following quadratic equation using square roots. Round to the nearest hundredth if necessary: (x+16)/29=7

Answer 1

To solve the quadratic equation \(\frac{x + 16}{29} = 7\), let's first eliminate the fraction by multiplying both sides by 29:

\[ x + 16 = 7 \times 29 \]

Calculating the right side:

\[ 7 \times 29 = 203 \]

Now, the equation becomes:

\[ x + 16 = 203 \]

Next, we isolate \(x\) by subtracting 16 from both sides:

\[ x = 203 - 16 \]

Calculating the result:

\[ x = 187 \]

Thus, the solution to the equation is:

\[ \boxed{187} \]