Question

Solve the equation $d+\sqrt{d}-132=0$.

Short answer

The solution for the equation is $d=121$.

Step-by-step solution

Step 1. Write down the given equation.

The given equation is $d+\sqrt{d}-132=0$.

Step 2. Simplify the equation.

The given equation $d+\sqrt{d}-132=0$ is solved as:

$\begin{array}{c}d+\sqrt{d}-132=0....\left(\text{Given}\right)\\ \left(\sqrt{d}-11\right)\left(\sqrt{d}+12\right)=0\\ \sqrt{d}-11=0\text{or}\sqrt{d}+12=0\\ \sqrt{d}=11\text{or}\sqrt{d}=-12\\ d=121\text{or}\sqrt{d}=-12....\left(\text{Impossible}\right)\\ d=121\end{array}$

Step 3. Conclusion.

The solution for the given equation is $d=121$.