Chapter 8, Problem 18MCQ

To determine

To Find: Solve the given equation and verify the solution

Answer to Problem 18MCQ

The solution of the equation $a^2=15a$ are $a=0$ and $a=15$

  $a=0$ is a solution of the equation $a^2=15a$

  $a=15$ is a solution of the equation $a^2=15a$

Explanation of Solution

Given information:

Equation is $a^2=15a$

Calculation:

The equation can be solved as below:

  $a^2=18a$

  $a^2-15a=0$

  $a(a-15)=0$

  $a=0a=15$

Check:

Put $a=0$ in the equation

  $0^2=15\ast 0$

  $0=0$

Again put $a=15$ in equation

  ${15}^2={15}^{\ast }15$

  $225=225$

Hence the solutions are correct