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

In your own opinion, which government functions would be best handled by state governments? Check any that apply. O making treaties with foreign countries D run
hi guys I need help me​
difference between Nitrogen 1 oxide and Oxygen​
look at the image for the question?
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST!! A oil company has a large tank that holds the oil before it is distributed. If it costs $3.20 per c
When does puberty occur? What causes the changes that occur during puberty?
Which representation would be best for determining how many planes had an average cruising speed of 0.84 Mach?
i. Shanta ____________________ to Santosh last year. (marry)
why is cursing someone in authority bad?
Naturally, an atom is neutral in charge? Why?​