 Hello. Welcome to the session. I am Deepika here. Let's discuss the question. Check whether the following is a quadratic equation. x plus 1 whole square is equal to twice x minus 3. We know that a quadratic equation in the variable x is an equation of the form ax square plus dx plus c is equal to 0, where abc are real numbers and a is not equal to 0. This is the key idea behind this question. We will see whether our given equation can be converted into the form ax square plus dx plus c is equal to 0. Let's start the solution. Our given equation is x plus 1 whole square is equal to twice x minus 3. This implies x square plus 2x plus 1 is equal to 2x minus 6. This can be rewritten in the form x square plus 2x minus 2x plus 1 plus 6 is equal to 0. Or on cancelling the right terms we get x square plus 7 is equal to 0. Given equation in the form ax square plus dx plus c is equal to 0. So our answer is yes, this is a quadratic equation. I hope the question is clear to you. Bye and have a good day.