Question

What should h be so that the expression h² - 2h has a value of 3?

A) h = 1
B) h = -1
C) h = 2
D) h = -2

Answer 1

To find the value of h that makes the expression h² - 2h equal to 3, we need to solve the equation h² - 2h = 3. The solutions to this equation are h = 3 and h = -1.

Step-by-step explanation:

To find the value of h that makes the expression h² - 2h equal to 3, we can set up the following equation:

h² - 2h = 3

Now, let's rearrange the equation:

h² - 2h - 3 = 0

We can solve this quadratic equation by factoring:

(h - 3)(h + 1) = 0

Setting each factor equal to zero, we get:

h - 3 = 0, h = 3

h + 1 = 0, h = -1

Therefore, the values of h that make the expression equal to 3 are h = 3 and h = -1. So, the correct answer is Option B) h = -1.