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
lana [24]
2 years ago
5

If x= 1/2-√3 , prove that x³-2x²-7x+5=3

Mathematics
1 answer:
prohojiy [21]2 years ago
6 0
x=\frac{1}{2}-\sqrt3\\\\x^3-2x^2-7x+5=3\\\\(\frac{1}{2}-\sqrt3)^3-2(\frac{1}{2}-\sqrt3)^2-7(\frac{1}{2}-\sqrt3)+5\\\\=(\frac{1}{2})^3-3\cdot(\frac{1}{2})^2\cdto\sqrt3+3\cdot\frac{1}{2}\cdot(\sqrt3)^2-(\sqrt3)^3-...\\\\...-2[(\frac{1}{2})^2-2\cdot\frac{1}{2}\cdot\sqrt3+(\sqrt3)^2]-\frac{7}{2}+7\sqrt3+5

=\frac{1}{8}-\frac{3\sqrt3}{4}+\frac{9}{2}-3\sqrt3-2(\frac{1}{4}-\sqrt3+3)-\frac{7}{2}+7\sqrt3+5\\\\=\frac{1}{8}+\frac{9}{2}-\frac{1}{2}-6-\frac{7}{2}+5-\frac{3}{4}\sqrt3-3\sqrt3+2\sqrt3+7\sqrt3\\\\=\frac{1}{8}+\frac{1}{2}-1+5\frac{1}{4}\sqrt3=\frac{1}{8}-\frac{1}{2}+5\frac{1}{4}\sqrt3=\frac{1}{8}-\frac{4}{8}+5\frac{1}{4}\sqrt3\\\\=-\frac{3}{8}+5\frac{1}{4}\sqrt3\neq3
You might be interested in
A line with a slope of 10 passes through the points ( -5, - 9) and ( - 4,a). What is the value of a?
Setler79 [48]
The slope is 10
(-5,-9)
(-4,-a)
a=-19
Because the slope is 10, that means when the input increases, the output will increases 10.
4 0
3 years ago
Who was born in California and makes use of symbolism, folklore, oral tradition, popular stories and songs within his novels?
VladimirAG [237]
The correct answer is John Steinbeck. He is famous for his depiction of Californian common folk lives and even won a Nobel prize for his depictions of it.
4 0
2 years ago
Read 2 more answers
PLS HURRY I NEED THE ANSWER FAST
balandron [24]

Answer:

16

notice how a right triangle was formed, and the Pythagorean theorem could be used to solve this :

a^2 + b^2 = c^2

a^2 + 15^2 = 17^2

a^2 + 225 = 289

a^2 = 64

a= 8

multiply it by 2 to get the side of the base

8 * 2 = 16

5 0
3 years ago
Could someone help me with this question
Lelechka [254]

Answer:

try b=32

Step-by-step explanation:

6 0
3 years ago
Gayle starts to save at age 20 for an extended vacation around the world that she will take on her 45th birthday. She will contr
Katen [24]
For this case we have the following equation:
 P (t) = P (1 + r / n) ^ (n * t)
 Where,
 P: initial investment
 r: interest
 n: periods
 t: time
 she will take on her 45th birthday:
 for t = 25:
 P (25) = 1000 * (1 + 0.0165 / 4) ^ (4 * 25)
 P (25) = 1509.31 $
 Answer:
 The future value of this investment when she takes her trip is:
 P (25) = 1509.31 $
8 0
3 years ago
Read 2 more answers
Other questions:
  • A customer’s order total is $7.07. They give you a $10 bill. What is the customer’s correct change?
    8·2 answers
  • Find the exact value of tan(pi/12) using the sum and difference formulas
    6·2 answers
  • The potential in a region between x = 0 and x = 6.00 m is V = a + bx, where a = 15.4 V and b = -5.10 V/m.
    9·1 answer
  • If 2.70 L of propane at 24°C and 57.2 kPa is completely burned in excess oxygen, how many moles of carbon dioxide will be produc
    11·1 answer
  • How do you simplify (12xy)^2
    14·2 answers
  • A museum part resorted 354,605 visitors last summer what is this number rounded to the nearest thousand
    5·1 answer
  • An experiment consists of 8 independent trials where the probability of success on each trial is 3 8 . Find the probability of o
    5·1 answer
  • Answer the following questions.
    7·1 answer
  • PLEASE HELP<br> Simplify the expression 5^3+3(5-3)<br> A.137<br> B.131<br> C.27<br> D.21
    9·1 answer
  • Without using a calculator evaluate 2^3/2^-3.​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!