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
eduard
3 years ago
5

A, b, c, d are the roots of 3x⁴-6x²+2=0. what is the value of a⁴+b⁴+c⁴+d⁴?

Mathematics
1 answer:
Pani-rosa [81]3 years ago
6 0
Hello,

P(x)=x^4-6x²+2=(x-a)(x-b)(x-c)(x-d)
=x^4-(a+b+c+d)x^3+(ab+ac+ad+bc+bd+cd)x^2-(abc+abd+acd+bcd)x+abcd

==>
ab+ac+ad+bc+bd+cd=-6
abc+abd+acd+bcd=0
abcd=2
a+b+c+d=0 ==>(a+b+c+d)²=0=a²+b²+c²+d²+2(ab+ac+ac+bc+bd+cd)
==>a²+b²+c²+d²=0-2*(-6)=12




if a is a root P(a)=0==>a^4-6a²+2=0
if b is a root P(b)=0==>b^4-6b²+2=0
if c is a root P(a)=0==>c^4-6c²+2=0
if d is a root P(a)=0==>d^4-6d²+2=0

==>a^4+b^4+c^4+d^4-6(a²+b²+c²+d²)+4*2=0
==>a^4+b^4+c^4+d^4=-8+6*12=64


You might be interested in
Ab+ac-a²-bc ??????????????????​
babunello [35]
Answer: ab+a-b
ab+ac-a2
CLT( collect like terms)
ab+a2+ac-bc
ab+a-b.

Hope this is correct



6 0
3 years ago
Round 82.265 to the nearest whole number.
Zinaida [17]
83.................................

7 0
3 years ago
Pls help!!! if f(x) = 3x-2 and g(x) = 6-4x, fibd f(x) + g(x)
sp2606 [1]
So first off the equation we are solving is f(x) + g(x). So i want to plug in those equations first off. The new equation I get should be 3x-2 + 6 -4x. I then simplify this to -x+4 or 4-x.
6 0
3 years ago
Read 2 more answers
Find the perimeter and area of each figure.​
ASHA 777 [7]

Answer:

Perimeter = 89mm

area= 528 or 220

Step-by-step explanation:

hope this is useful

3 0
3 years ago
Read 2 more answers
The angle by which AB turns clockwise about point B to coincide with BC is ? degrees. If from point B, a point E is drawn direct
dedylja [7]

Answer:

Step-by-step explanation:

We have the statement AB turns clockwise to coincide with BC.

= ABD + DBC

= 33.3° + 30.6°  

= 63.9°

Now we have the statement a point E is drawn directly opposite point C. B, E, and C are on the same straight line

EBC is a straight line, so sum of angles =180°

ABE + ABD + DBC = 180°

ABE + 33.3° + 30.6° = 180°

ABE + 63.9° = 180°

ABE = 180 - 63.1

ABE = 116.9° ....

3 0
3 years ago
Other questions:
  • Which number is less -49 or -41??
    5·1 answer
  • What is one-fourth of a number,increased by seven in algebraic expression
    8·1 answer
  • ε = {x: 2 ≤ x ≤30, x is an integer}, M = {even numbers}, P = {prime numbers}, T = {odd numbers} Find: M-T
    11·1 answer
  • Suppose you bought a pizza for $8.00. You also bought a salad, but you cannot remember how
    14·2 answers
  • Please answer asap, i need to turn it in by the end of the day.
    7·1 answer
  • 3(7 + x2); x = 2 (x is squared by 2) ( evaluate each expression for the given values of the variables)
    13·1 answer
  • Please help!! ill mark you as brain!!
    8·1 answer
  • Use the graphs to solve the simultaneous linear equations
    7·1 answer
  • Explain what is the difference between the solutions to 2x=10 and 2x > 10
    12·1 answer
  • A farmer has a house at the point (0, 0). He has a corn field that can be found by driving 1 unit up, 2 units right, 3 units dow
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!