Sometimes it happens when you are going to solve quadratic equations, which includes three terms. In this case, you will not be able to use zero products to solve them. Let’s discuss, how you can easily solve the variables on which factorization is not possible. Although, factorization is not the all-in-all method for solving the quadratic equations. Applying a quadratic formula for the quadratic equations gives you the perfect result and solves your equation without any hassle. For instance, 12x^2=5+10x
The first you need to follow is to make this quadratic equation in a standard form and set it equal to zero. You will get: The standard form of a quadratic equation is ax^2 bx c=0. Suppose, for a, b and c : As, a=12, b=-10 and c=-5
Keep on simplifying the equations until you find the answer as you have all the terms. Always remember that quadratic equation must have two real solutions.
At this point, you have two solutions because of the ± sign that is in the problem. This sign is read as “plus or minus” and it means:We get two options to get the final answers. Calculate both of the options by taking one as positive and another one is negative for the exact answer.
Sometimes, you will be asked to find up to the above value but if they are asked for the exact value then you need to find the square root of √340=2√85. Write like this:
Note that the terms present outside the radical is divisible by 2. One more time, we need to simplify it.
And you will get:
By solving the above terms you will get the approximate decimal value as your answer.