# How do you solve #x^2-6x-27 = 0#?

##### 2 Answers

The solutions are

#### Explanation:

We can **Split the Middle Term** of this expression to factorise it and thereby find solutions.

In this technique, if we have to factorise an expression like

and

After trying out a few numbers we get

Now we equate these factors to the R.H.S (

Solve y = x^2 - 6x - 27 = 0

Ans: -3 and 9

#### Explanation:

x^2 - 6x - 27 = 0

Find 2 numbers knowing sum (6) and product (-27). Roots have opposite signs.

Factor pairs of -27 --> (-1, 27)(-3, 9). This last sum is 6 = -b. Therefor, the 2 real roots are: -3 and 9.