1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
fredd [130]
3 years ago
11

If -5 is a root of the quadratic equation 2x^2+px+15=0 and the equation p(x^2+x) +k=0 has equal rootsv then find p and k

Mathematics
1 answer:
grigory [225]3 years ago
4 0

Answer:

p=13, k = 3.25

Step-by-step explanation:

First, determine p:

2x^2+px+15=0\\x=-5:\\2(-5)^2+p(-5)+15=0\\-5p+65=0\\\implies p=13

Use this value in the second equation

13(x^2+x)+k=0

and write the condition for that equation having equal roots, i.e., its determinant must equal 0:

13x^2+13x+k=0\\D=b^2-4ac=13^2-4\cdot13\cdot k=0\\52k=169\implies k = 3.25


You might be interested in
What conditional statement is represented by the Venn diagram below
ipn [44]

Answer:

D

Step-by-step explanation:

It's one of each or not both tho:)

6 0
3 years ago
Read 2 more answers
6/11 of students are at a school are girls . If there are 1309 students at the school , how many are boys
Alexandra [31]
There are 714 boys in that school, you can cross multiply and divide to find the answer, if you wanna check. The way I wrote it was x (boys) / 1309 = 6/11.
3 0
3 years ago
Sets M and F are defined as follows.
a_sh-v [17]

Answer:

intersection is /c,d/

Step-by-step explanation:

circle the common members and list them

6 0
3 years ago
[ f°g](x)<br><br> 12. f(x) = -3x<br> g(x) = 5x - 6
irinina [24]

Answer:

o zaman burayı tıkla ve Kazan kampanyası ile

Step-by-step explanation:

tüm Türkiye'ye gönderilir ve hangi partiye sızmış bir şey değil bu oran iletişim

4 0
1 year ago
A forest preserve had 275,301 pine trees. Rangers planted 21,748 new trees. How many trees does the forest preserve have now?
DaniilM [7]
275,301+21,748=297,049
3 0
3 years ago
Read 2 more answers
Other questions:
  • Nicole used 3/8 of her ribbon to wrap a present . if she used 6 feet of ribbon , how much ribbon did Nicole have at first ?​
    11·2 answers
  • A. x = 2, y =6<br> B. x = 2, y =3<br> C. x =-2, y =3<br> D. x = -3, y =2
    12·2 answers
  • $32 increased by 35%?​
    9·2 answers
  • Find the area of the circle.. PLEASE HELP
    8·2 answers
  • How do you solve for 4y+20=5x
    13·2 answers
  • How do you solve this systems of equations problem <br><br> 2r +3s=-5<br> 6s=2r
    9·1 answer
  • Mateo makes 6 loaves of banana bread. He sells 2/3 of the loves of bread at the bake sale. Which expression represents how many
    15·1 answer
  • Rick owns a farm, which produces many different crops, including corn. The table shows the relationship between the number of ac
    13·1 answer
  • PLEASE HELP FAST WILL MARK BRAINLIEST!!!!!!!!
    10·1 answer
  • Regina has 24 inches of ribbon for a craft project. Tommy has 2 yards of ribbon. Choose the true statement below. (1 yard = 3 fe
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!