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
Lera25 [3.4K]
3 years ago
11

The sum of the squares of two consecutive negative integers is 61. Find the smaller of the two integers

Mathematics
1 answer:
Marysya12 [62]3 years ago
3 0
x^2+(x+1)^2=61\\ x^2+x^2+2x+1-61=0\\ 2x^2+2x-60=0\ \ /:2\\ x^2+x-30=0\\ \Delta=1^2-4\cdot(-40)=1+120=121\ \ \Rightarrow\ \  \sqrt{\Delta} =11\\ \\ x_1= \frac{-1-11}{2} = \frac{-12}{2} =-6,\ \ \ \ x_2= \frac{-1+11}{2} = \frac{10}{2}=5\\ \\Ans.:x=-6
You might be interested in
Angle D has a measure between 0° and 360° and is coterminal with a –920° angle. What is the measure of angle D?
topjm [15]
Take -920/360 = -2.55555
Take the fraction part -0.5555555 * 360 = -200
The positive of that would be 160 degrees
7 0
3 years ago
Read 2 more answers
Please solve the equation _4(4n+2)=4
MrRissso [65]
16n+8=4
16n=4-8
16n=-4
n=-4/16
n=-1/4.
8 0
3 years ago
Read 2 more answers
Write the ratio as<br> fraction in simplest form, with<br> 16 gal to 72 gal
V125BC [204]

Answer:

2/9

Step-by-step explanation:

16/72 simplify in calculator =2/9

5 0
2 years ago
Read 2 more answers
In science class, the girl to boy ratio is 3 to 7.
gogolik [260]
I would say that there are 29 boys in the class.
8 0
3 years ago
Read 2 more answers
The length of a rectangle is 4 inches more than its widith. The area of the rectangle is equal to 4 inches less than 3 times the
zepelin [54]
Length is 14
width is 10
6 0
3 years ago
Other questions:
  • NEED DONE NOW!!!!!!
    8·2 answers
  • 3km:500m in lowest terms
    12·1 answer
  • The functions fand g are defined as follows.
    7·1 answer
  • How many times larger is 9 × 1013 than 3 × 108?
    11·1 answer
  • I need help with this question please I’ll mark as brainliest
    14·1 answer
  • SWEET POINTS IF YOI TELL ME WHAT THIS IS !!
    10·1 answer
  • Someone please help!!
    8·2 answers
  • Pleaseeeeee helppppp, ill give you brainley i promise
    14·1 answer
  • Vijay’s wages were increased from £115 per week to £130 per week.
    5·1 answer
  • 3. What is the midpoint of BC? ​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!