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
Be confident and be paitent to help people tahnky ou
Aleksandr [31]
12!!!! Hope this helped and good encouragement
4 0
2 years ago
Plz help me!!!!!!!! Which expressions are equivalent? <br> A.<br> B.<br> C.<br> D.
likoan [24]

Answer:

Option A

Step-by-step explanation:

The answer is Option A because - \frac{2}{3} j + \frac{1}{5}k can be writen as \frac{1}{5}k - \frac{2}{3}j.

6 0
2 years ago
Expand (- 3a - 5x) (- 2b - 4y).​
vekshin1

Answer:  −3a(−2b−4y).−5x(−2b−4y). to this  

6ab+12ay+10bx+20xy

Step-by-step explanation: hope this helps :)

8 0
3 years ago
Read 2 more answers
ASAP!!!! Calculate the finance charge and new balance using the previous balance method.
goldenfox [79]

Answer:

Previous balance = $199.19

Annual rate =14%

finance charge=14%of $198.19=$27.7466

New balance =$199.19+$27.7466-$97.50-$75.75=$53.6866

3 0
3 years ago
Given A = 1 /2 (b1 + b2)h, solve for h.
Tatiana [17]

Answer: b: h=2a/b1+b2

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • What is one quarter of 24
    11·2 answers
  • A SQUARE PYRAMID has a base length of 8in. The height of the pyramid is 2.4in. What is the SQUARE AREA of the pyramid? ***USE FO
    13·1 answer
  • Please help me with geometry!
    9·1 answer
  • Pleaseee help me solve this
    10·2 answers
  • - 19.8=x over 1.8 what’s the answer
    13·1 answer
  • 1. Add or subtract. Show your work for each problem.
    15·1 answer
  • Cobalt-60 is used for radiotherapy. It has a half-life of 5.26 years. If 4 g of cobalt-60 is administered, how much remains in 3
    12·1 answer
  • 5,829 in expanded form
    9·2 answers
  • HHHHHHHHHHHHHHHHHHEEEEEEEEEEELLLLLLLLLLLLLLPPPPPPPPPPPPPP
    9·1 answer
  • 1 of 10Give the property that justifies each step.5(2 + 10)20Given52 + 50 = 2057 = -30N2-6o- Addition Property of Equality:: Sub
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!