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
zvonat [6]
3 years ago
5

OOOO

Mathematics
1 answer:
lbvjy [14]3 years ago
3 0

Step-by-step explanation:

Given bi-quadratic equation is:

x^4+95x^2 -500=0

Substituting x^2=a, given bi-quadratic equation reduces in the form of following quadratic equation:

a^2 +95a -500=0\\

Let us factorize the above quadratic equation:

a^2 +95a -500=0\\\therefore\: a^2 +100a -5a-500=0\\\therefore\: a(a +100) -5(a+100)=0\\\therefore\: (a +100)(a -5)=0\\\therefore\: (a +100)=0\:\: or \:\: (a -5)=0\\\therefore\: a = - 100\:\: or \:\: a = 5\\\\CASE\: (1)\:\\When\: a = - 100 \implies x^2 = - 100\\\therefore x=\pm \sqrt{-100}\\

Since square root of a negative number cannot be found, so:

x \neq \pm \sqrt{-100}\\

CASE\: (2)\:\\When\: a =5 \implies x^2 =5\\\therefore x=\pm \sqrt{5}\\

You might be interested in
Explain the relationship between an equation in exponential form and the equivalent equation in logarithmic form.
Eddi Din [679]
\bf 
log_{{  a}}{{  b}}=y \iff {{  a}}^y={{  b}}\qquad\qquad 
%  exponential notation 2nd form
{{  a}}^y={{  b}}\iff log_{{  a}}{{  b}}=y\\
\\ \quad \\
thus\\
----------------------------\\
8^5=32768\qquad \iff\qquad log_8(32768)=5

so... notice the example there, with 8
so.. you tell us, what is the relationship then?
8 0
3 years ago
What is the value of x?​
myrzilka [38]

Answer:

<h2>x = 20</h2><h2 />

Step-by-step explanation:

∠VRW and ∠TRS form a pair of vertical angles then they are congruent

therefore

3x = x + 40

⇔

2x = 40

⇔

x = 20

5 0
3 years ago
Solve:<br> 1 - 2k += = -3k
MariettaO [177]

Answer:

-1

Step-by-step explanation:

1-2k=-3k

1-2k+2k=-3k+2k

     1=-1k

1/-1=-1k/-1

-1=k

3 0
3 years ago
Read 2 more answers
Asap! please help i’ll give brainliest
Alex777 [14]

well it would make sense to say that the longest fish is 12in longer than the shorter fish because if you take 21in (the longest fish) and subtract 9 (the shortest fish) you would get 12.

Hope that helped pls give brainlist

6 0
3 years ago
What is 9,276 divided by 8
mamaluj [8]
9,276÷8=1,159.5 i hope i helped you i am a 3rd grader
6 0
3 years ago
Other questions:
  • A 4-column table with 4 rows. The first column has no label with entries C, D, E, total. The second column is labeled A with ent
    5·2 answers
  • Kareem purchased a leather jacket for $800 with his new credit card. He budgeted $50 a month to pay toward the debt. When he rea
    15·1 answer
  • Someone help me please
    6·1 answer
  • Help needed ASAP plz plz
    5·1 answer
  • A large community college has professors and lecturers the total number of faculty members is 136.The school reported that they
    5·1 answer
  • The function​ s(t) represents the position of an object at time t moving along a line. Suppose s(2)=150 and s(5)=237. Find the a
    9·1 answer
  • Convert 17π/8 to degrees.
    15·1 answer
  • If $40 equals 15 gallons, how much money is in 3 gallos? this is due soon pls help
    14·1 answer
  • Pedro is building a playground in the shape of a right triangle. He wants to know the area of the playground to help him decide
    6·1 answer
  • What type of number is - 5.41
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!