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

May 14-september 17, 1787 in Philadelphia pennsylvania who feared that no one would say anything if everyone outside the gathering knew what they were doing
QUICK PLEASE!! Jordan is buying 250 baseball cards for $1.50 each. So far he has paid for 25% of the total and will pay the rest later. How much will he pay lat
May 14-september 17, 1787 in Philadelphia pennsylvania who feared that no one would say anything if everyone outside the gathering knew what they were doing
The product of any number and zero is zero ????​
An object’s mass changes depending on gravity. true or false
*nitric oxide* is another *compensatory mechanism* that vasodilates and decreases ___________a. blood pressureb. heart ratec. blood glucose levelsd. respiratory
What is an example of Boolean value
what volume will 10g of carbon dioxide occupy at STP
I need help with the explanation of A and B
last week, steve made $18.75 an hour. this week, he will get a 8% increase in the amount he makes per hour. what is his pay per hour after the increase?