How do you solve #-16x ^ { 2} = 12x ^ { 2} + 24x + 5#?
2 Answers
Explanation:
In order to solve this equation, first we will have to convert it into the general form,
So,
Now, we will use the Quadratic Formula or Sridhar Acharya's Formula, to solve for the two roots.
Here, Discriminant =
So, the equation will have two real and distinct roots.
Now, Applying the Formula,
and,
So, the two roots of the equation are
See a solution process below:
Explanation:
First, add
Next. we can factor the left side of the equation as:
Now, we can solve each term on the left for
Solution 1:
Solution 2:
The Solution Is: