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

On January 1st, Jerome concocts a rumor and tells Beth. On January 2nd, they each tell a new person. By the end of January 2nd, four people have heard the rumor
Which strategy is the best way to improve clarity in a wordy sentence? A)Use fewer powerful words. B)Avoid using adverbs. C)Eliminate redundancies. D)Use more m
Solve the equation 8x-12=5+15
what amendment gives us freedom of religion
reduce 15/24 what's the answer
Fat is stored in layers beneath the skin. This fat is part of the body's energy reserve. Give another function of the layers of fat.
HELP PLZ!!! LOTS OF POINTS Convert each angle measure into degrees 7.51(convert this into degrees with explanation please :D)
The U.S. government supported the automobile by subsidizing (A) gasoline prices (B) car purchases (C) Highway 66 construction (D) plant improvements
6/15 divided by 4/21 = ?
Which is not determined by the type and arrangement of atoms in a mineral? A. thermal properties B. magnetic properties C. electrical properties D. its position