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

5. While bones may provide important clues about the remains, they cannot answer all the questions that a forensic scientist might have about a scene and a dece
PLZ HELP ITS DUE TODAY!!!!!!
She is still there. You ... hurry. a) might not b) shouldn't c) oughtn't d) needn't
Maths WC Year 9 Winter homik Overview o B AN Question Progress Homework Progress FRUIK Solve x - 7x - 34 = 10​
Chan and his two sisters make and sell jewelry. They sell each piece of jewelry for $9 and agree to share the money equally. If they sell 38 pieces of jewelry i
Pleaseeeeeeeeeeeeeeeeeeeeeeeee Just Answer Get 50 Points.
In health class, Myra learns that smoking is not good for a person's body. She tells her father, who is an avid smoker. Myra's father does not consider his smok
PLEASE ANSWER FAST IN A TEST Fill in the blank with the appropriate direct or indirect object pronoun. 1. Tu aimes les tomates ? Moi, je _____ aime bien. Cle l
PLEASE HELP WILL GIVE BRAINLY AND 5.0 RATING
What is the value of the expression 32 x (2 + 3 4) – 5?