Question

Solutions of x2 + 13x + 30 = 0 by factoring.

Answer 1

x = -10 or x = -3

Explanation:

Here, the given equation is

`x^(2)  + 13x + 30 = 0`

The given equation can be solved by the method of SPLITTING THE MIDDLE TERM

Split 13 in such a way that sum of the terms = 13

and product of the terms = 30

So, the given equation becomes
`x^(2)  + 10x + 3x + 30 = 0`

Here, 10x+ 3x = 13x and 10 x 3 = 30

Now, simplifying the equation,

`x(x+10) + 3(x + 10) = 0 \\(x+3) (x+10) =0`

⇒ either (x+ 10) = 0 ,or (x+ 3) = 0

⇒ x = -10 or x = -3