Question

If the equation has one solution,

what number CAN'T the value of
h be?
h(- 2x + 5) = 4x + 5

Answer 1

-2.5

Explanation:

We can start by isolating h on one side of the equation:

4x + 5 = h(-2x + 5)

Divide both sides by -2x + 5:

(4x + 5) / (-2x + 5) = h

Now, since the equation has only one solution, the value of h must be well-defined for all values of x except those that would make the denominator equal to zero. This happens when -2x + 5 = 0, or when x = (5 - 5) / (-2) = -2.5.

So, the value of h cannot be determined when x = -2.5. This means that the value of h cannot be equal to -2.5.