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

7. Analyze How does Twain use the somewhat positive statements that "Man is the only Patriot" (line 133) and "Man is the Religious Animal" (line 140) ironically
Do you believe that we are changed by the people who come into our lives (good or bad)? In what ways do the people we allow in our lives change us? Do we always
How do you say "I want to learn Korean" in Korean?.
If he has an excess of ammonium sulfide and 125.0 mL of a 1.51 M solution of Al(NO3)3, how many grams of aluminum sulfide can he make?
discuss social factors (excluding friends and social interaction)that may contribute to unemployment in South Africa amongst the youth​
What is metabolic syndrome? What are the symptoms and cure?.
2 electric cells are called ​
What fraction is between 3/4 and 1 ?
will give branliest if u give answer :)
Can someone help me out on this math?