Question

Find the solution(s), if any, of the given equation using quadratic formula:
6x2 – 30x = 36

Answer 1

x = 6 and x = -1.

Explanation:

The given equation is :

`6x^2-30x=36\\\\6x^2-30x-36=0\\\\or\\\\x^2-5x-6=0`

We can solve it using the middle term splitting method.

`x^2-(6x-x)-6=0\\\\x^2-6x+x-6=0\\\\x(x-6)+1(x-6)=0\\\\(x-6)=0\ and\ (x+1)=0\\\\x=6\ and\ x=-1`

So, the solutions are x = 6 and x = -1.