How many and what type of solutions does the equation have?

2k² = 9 + 3k

Step-by-step explanation:

the solution of this equation is 3 and -3/2

Step-by-step explanation:

since it is quadratic equation, it has twp solutions

2 = 9 + 3k

or, 2 - 3k - 9 = 0

or, 2 - 6k + 3k - 9 = 0 ( by middle term factor)

or, 2k(k - 3) + 3(k - 3) = 0

or, (k - 3) (2k +3) = 0

so, k = 3 and -3/2

2 and 1.

step-by-step explanation:

plug in each answer. 0 doesn't work, 1 does. so does 2. 4 doesn't:

0 = 1 is not true.

2 = 2 is true.

4 = 4 is true.

8 = 16 is not true.

hope this !