Answer:
x = -10 or x = -3
Step-by-step explanation:
Here, the given equation is
[tex]x^{2} + 13x + 30 = 0[/tex]
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 [tex]x^{2} + 10x + 3x + 30 = 0[/tex]
Here, 10x+ 3x = 13x and 10 x 3 = 30
Now, simplifying the equation,
[tex]x(x+10) + 3(x + 10) = 0 \\(x+3) (x+10) =0[/tex]
⇒ either (x+ 10) = 0 ,or (x+ 3) = 0
⇒ x = -10 or x = -3
