Question

Which method is the most efficient method to use to solve x^2+5x-6=0

Answer 1

Factoring

Explanation:

We have the function
`x ^ 2 + 5x-6 = 0`

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

`(x + a)(x + b)`

You can verify that:

`a = 6\\b = -1\\6(- 1) = -6\\6 -1 = 5`

So:

`x ^ 2 + 5x-6 = (x + 6)(x-1) = 0`

So:

The solutions are:

`x = -6\\x = 1`