 Hello and welcome to the session. Let us understand the following problem today. Find value of x if determinant 2, 4, 5, 1 is equal to determinant 2x, 4, 6. Now that is why the solution given to us is, determinant 2, 4, 5, 1 is equal to determinant 2x, 4, 6x and we have to find the value of x. First, consider determinant on the left-hand side that is 2, 4, 5, 1 which is equal to 2 minus 20 which is equal to minus 18. Now consider determinant on the right-hand side that is 2x, 4, 6x which is equal to 2x square minus 24. Now we have equating LHS is equal to RHS so we get 2x square minus 24 is equal to minus 18. Now solving this it implies 2x square is equal to minus 18 plus 24 which implies 2x square is equal to 6 which implies x square is equal to 3 which implies x is equal to plus minus under root 3. Therefore the required answer is x is equal to plus minus under root 3. I hope you understood the problem bye and have a nice day.