Rewrite the function f (x) = x^2-6x-60 by completing the square

x = (6+√276) / 2=3+√ 69 = 11.307

Step by step solution:

Step 1:

Trying to factor by splitting the middle term

1.1 Factoring x2-6x-60

The first term is, x2 its coefficient is 1.

The middle term is, - 6x its coefficient is - 6.

The last term, "the constant", is - 60

Step-1 : Multiply the coefficient of the first term by the constant 1 • - 60 = - 60

Step-2 : Find two factors of - 60 whose sum equals the coefficient of the middle term, which is - 6.