Question

What is the answer to
x2>x+1

Answer 1

x < -1 or x > 1

Step-by-step explanation:

x2 - x - 1 > 0

AC method:

x2 + x - x - 1 > 0

x(x + 1) -1 (x + 1) > 0

(x - 1)(x + 1) > 0

The roots of the equation are x = 1 and x = -1

Draw the graph of y = x2 - x - 1

so

y > 0 (meaning you want the part where the curve ig above the x-axis)

The range of values for x above the x-axis is x < -1 or x > 1