Question

find sign scheme of x²-x-1<0​

Answer 1

Step-by-step explanation:

How can we solve a quadratic inequality such as  x2 − 1  0 ?  If  we solve the corresponding quadratic equation we get two solutions.

               x2 − 1 = 0

   (x + 1)(x − 1) = 0

    Solutions: x = 1 and x = −1.

We have found the points where the expression is 0, we now have to find where it’s less than 0. In other words we have to find out when the expression is negative. To do this we look at the signs of the  factors (x + 1) and (x − 1) . In other words we look for the intervals in which they are positive or negative. To do this we make a “table of signs”