Question

Check whether the following is quadratic equation or not.

(2𝑥 + 1)(3𝑥 + 2) = 6(𝑥 − 1)(𝑥 − 2)

Answer 1

Here it has been given that,

(2𝑥 + 1)(3𝑥 + 2) = 6(𝑥 − 1)(𝑥 − 2)

Now, after solving the above equation further we get,

6x² + 7x + 2 = 6x² - 18x + 12

25x - 10 = 0

5x - 2 = 0

Now as we can see, the above equation clearly does not represent a quadratic equation of the form ax² + bx + c = 0, because 5x - 2 = 0 is a linear equation.

Hence, the above equation is not a quadratic equation.