Question

what is the easiest or simple way to solve any quadratic equation by splitting the middle term mehod..​

Answer 1

Answer:

Step-by-step explanation:

There are some steps which need to be followed while solving any quadratic equation by middle term splitting method

Let's take a example-

y² - 15y + 54 = 0

first make sure that the equation is in standard form  which is                     ax² + bx + c = 0 . here constant is on the side opposite to zero.

Then multiply the 1st and 3rd term here it will be

y² x 54 = 54y² which is a positive number.

Now see the middle term it is -15y.

So you will have to search factors of 54y² such that their product is 54y² and sum is -15y. If it would have been -54y² instead if 54y² then you would have searched for factors whose product is -54y² and subtraction is -15y.

But here it is 54y².

So search the factors.

For this question the factors are -9y and -6y. These factors satisfy the above condition.

Now instead of writing the middle term write these factors

So it will be

y² - 9y - 6y + 54 = 0

Now take common in the first two and next two terms

y ( y - 9 ) - 6 ( y - 9 ) = 0

Make sure that both the brackets are equal. They always are equal if you have solved correctly.

Next compare each to zero

y - 6 = 0         or       y - 9 =   0

Therefore your answer is  y = 6 or y = 9

Hope this will help and mark me as brainliest if this helped you.