Which way do I put the crocodile?

[unkempt topaz]

-4 and 5 what ?

This is an inequality

If you dont know which way the crocodile goes

It means you just applied the formula to solve $x^2-x=20$

[restive temple]

Daddy_314

[unkempt topaz]

But this does not tell you for which x $x^2-x > 20$

[restive temple]

Daddy_314

[unkempt topaz]

If you do want to deeply understand the crocodile

You always need to factor

$x^2-x-20 = (x+4)(x-5)$

[restive temple]

Daddy_314

[unkempt topaz]

Then you want to see for which x, this product of (x+4) by (x-5) is positive

The product of two numbers is positive only if both are positive or both are negative at the same time

This means:
We either have
Case 1:
$x+4 > 0$
And $x-5>0$

Or
Case 2:
$x+4<0$
And $x-5<0$

[restive temple]

Daddy_314

[unkempt topaz]

For case 1
x > -4 and x > 5 means x > 5

And for case 2:
x<-4 and x < 5
Therefore x < -4

So in conclusion x > 5 or x< -4