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

a)x^2=x−b

If b < ANSWER, the equation has 2 roots.
If b = ANSWER, the equation has 1 root.
If b > ANSWER, the equation has no roots.

b) 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.

Here's what I get  

Step-by-step explanation:

a) x² = x - b

I plotted the graphs of y = x² - x + b with different values of b and found:  

You can see three specific cases in Fig.1.

b)  x² = bx - 1

I plotted the graphs of y = x² - bx + 1 with different values of b and found:

You can see five specific cases in Fig. 2.

x=12 units bd= 10 units

step-by-step explanation:

answer:

the position of equilibrium will shift to the left.

step-by-step explanation:

the general equation for the dissociation of a weak base is

b + h₂o   ⇌   bh⁺ + oh⁻

according to le châtelier's principle, when a stress is applied to a system at equilibrium, the system will respond in a way that tends to relieve the stress.

if you apply a stress by adding more bh⁺ or oh⁻,   the system will respond by moving in a direction that gets rid of the added ions.

the position of equilibrium will shift to the left, forming more of the undissociated base.