michaelscottb2004 michaelscottb2004
  • 24-02-2020
  • Mathematics
contestada

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

2k² = 9 + 3k

Respuesta :

Onoriodefelix
Onoriodefelix Onoriodefelix
  • 24-02-2020

Answer:

Step-by-step explanation:

Answer Link
lavanyaande
lavanyaande lavanyaande
  • 24-02-2020

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

Step-by-step explanation:

since it is quadratic equation, it has twp solutions

2 [tex]k^{2}[/tex] = 9 + 3k

or, 2 [tex]k^{2}[/tex] - 3k - 9 = 0

or, 2 [tex]k^{2}[/tex] - 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 Link

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