Use graph of the function f(x)=x2 to find how the number of roots of the equation depends on the value of b.

Question

x^2=bx−1

If b is on the interval ( , ) ∪ ( , ), the equation has two roots.
If b equals to , , the equation has one root.
If b is on the interval ( , ), the equation has no roots.

Answer 1

remember the discriminant. It tells you about the roots. In this case, you have
x^2 - bx + 1 = 0
so the discriminant is b^2 - 4