Answer:
Option (d) is correct.
The solution of given quadratic equation is 4 and -6.
Step-by-step explanation:
Given equation
We have to solve using factorization.
Consider the given quadratic equation
We can solve the quadratic equation using middle term splitting method,
Split the middle term in such a away that the product of term gives the product of coefficient of two other terms.
Thus, 2n can be written as 6n-4n,
We have
Taking n common from first two term and -4 common from last two terms, we have,
taking (n + 6) common, we have,
Using , zero product property ,
we have,
or
On simplify, we have,
or
Thus, the solution of given quadratic equation is 4 and -6.
Option (d) is correct.