Question

How many and what type of solutions does the equation have? 2k² = 9 + 3k

Answer 1

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

Step-by-step explanation:

since it is quadratic equation, it has twp solutions

2 $k^{2}$ = 9 + 3k

or, 2 $k^{2}$ - 3k - 9 = 0

or, 2 $k^{2}$ - 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

Answer 2

Answer:

Step-by-step explanation: