Simplify completely the quantity of x squared minus 15 x plus 36 all over 5 x minus 60?
We will use the concept of factorization of quadratic equations in order to find the required answer.
Answer: x minus 3 over 5 or (x-3)/5 is a completely simplified quantity of x squared minus 15 x plus 36 all over 5 x minus 60
let's get the solution step by step.
x square minus 15 x plus 36 all over 5 x minus 60.
it can mathematically be written as,
(x2-15x+36) / (5x-60) ------------ (3)
Let's simplify it further,
First of all factorise the quadratic equation (x2-15x+36)
(x2-15x+36) = (x-12)(x-3)
So, substituting back in equation (3) we get,
[(x-12)(x-3)] / 5 (x-12)
= (x-3)/5 (since, x-12 is common)