Answer:
Factoring
Step-by-step explanation:
We have the function [tex]x ^ 2 + 5x-6 = 0[/tex]
To factor this expression we must look for two numbers a and b that when adding them give as a result 5 and multiplying them give as a result -6
Then the factorization will have the form
[tex](x + a)(x + b)[/tex]
You can verify that:
[tex]a = 6\\b = -1\\6(- 1) = -6\\6 -1 = 5[/tex]
So:
[tex]x ^ 2 + 5x-6 = (x + 6)(x-1) = 0[/tex]
So:
The solutions are:
[tex]x = -6\\x = 1[/tex]
