kcutillo1128 kcutillo1128
  • 02-05-2022
  • Mathematics
contestada

What value of k is the expression x^4+kx^2+36 a perfect square?

Respuesta :

loneguy
loneguy loneguy
  • 02-05-2022

[tex]\text{ The discriminant is 0 if the quadratic expression is a perfect square.}\\\\~~~~~b^2 -4ac =0\\\\\implies k^2-4\cdot 1 \cdot 36 = 0\\ \\\implies k^2 - 144 = 0\\\\\implies k^2 = 144\\\\\implies k = \pm\sqrt{144}\\\\\implies k= \pm12\\\\\text{Hence}~ k=12 ~\text{and}~ k=-12.[/tex]

Answer Link

Otras preguntas

A mouse population starts with 2,000 mice and grows at a rate of 5% per year. The number of mice after t years can be modeled by the equation, P(t)=2000(1.05)^t
which inequality is equivalent to 7x-2y> 8. A) y> 7/2x+8 b) y>-2/7x+8/7 c) y <7/2x-4 d) y <-2/7x-4/7 (whats a Inequality? )
what are some reasons for limiting authority
how do i round 3,176 to the nearest thousand
How can b^2+9b+14 be re-written?1) (b+7) (b-7)2) (b-7) (b-2)3) (b+7) (b-2)4) (b+7) (b+2)
which inequality is equivalent to 7x-2y> 8. A) y> 7/2x+8 b) y>-2/7x+8/7 c) y <7/2x-4 d) y <-2/7x-4/7 (whats a Inequality? )
What challenges did the californios face?
after clicking the start button on your computer screen desktop what option would you then select to examine system components you might want to modify?
what colors are birds are attracted 2
what does the zeppelin