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
Artist 52 [7]
1 year ago
7

Write the quadratic equation that has roots -1-rt2/3 and -1+rt2/3 if its coefficient with x^2 is equal to 1

Mathematics
1 answer:
weeeeeb [17]1 year ago
7 0

The equation of the quadratic function is f(x) = x²+ 2/3x - 1/9

<h3>How to determine the quadratic equation?</h3>

From the question, the given parameters are:

Roots = (-1 - √2)/3 and (-1 + √2)/3

The quadratic equation is then calculated as

f(x) = The products of (x - roots)

Substitute the known values in the above equation

So, we have the following equation

f(x) = (x - \frac{-1-\sqrt{2}}{3})(x - \frac{-1+\sqrt{2}}{3})

This gives

f(x) = (x + \frac{1+\sqrt{2}}{3})(x + \frac{1-\sqrt{2}}{3})

Evaluate the products

f(x) = (x^2 + \frac{1+\sqrt{2}}{3}x + \frac{1-\sqrt{2}}{3}x + (\frac{1-\sqrt{2}}{3})(\frac{1+\sqrt{2}}{3})

Evaluate the like terms

f(x) = x^2 + \frac{2}{3}x - \frac{1}{9}

So, we have

f(x) = x²+ 2/3x - 1/9

Read more about quadratic equations at

brainly.com/question/1214333

#SPJ1

You might be interested in
Dwight deposits $150 into his new savings account. The account earns 5% interest compounded annually.
GrogVix [38]

Answer:

A=\$150(1.05)^{t}  

Step-by-step explanation:

we know that    

The compound interest formula for this problem is equal to  

A=P(1+r)^{t}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  in years

in this problem we have  

P=\$150\\ r=5\%=0.05  

substitute in the formula above  

A=\$150(1+0.05)^{t}  

A=\$150(1.05)^{t}  

8 0
3 years ago
What percent of the ninth grade students scored between 78 and 96?
kiruha [24]

Answer:

30%

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
En una pizzeria se hicieron 8 docenas de pizzas. La tercera parte se vendio en el local y las cinco octavas partes son para envi
11111nata11111 [884]

Answer:

32 pizzas

60 pizzas

1/24

Step-by-step explanation:

Se hicieron 8 docenas de pizzas.

Una docena es 12, por lo tanto, el número de pizzas hechas fue:

8 * 12 = 96 pizzas

1/3 se vendieron en el local, esto significa que el número de pizzas vendidas en el local es:

1/3 * 96 = 32 pizzas

5/8 fueron para entrega a domicilio, por lo tanto, el número de pizzas vendidas en casa es:

5/8 * 96 = 60 pizzas

El número total de pizzas vendidas es:

32 + 60 = 92 pizzas

Esto significa que no se vendieron 4 pizzas. En forma de fracción:

4/96 = 1/24

5 0
3 years ago
5)
Paladinen [302]

Answer:183.4

Step-by-step explanation:

90/11=8.181818  1500/8.1818 = ≈183.4 time you would roll six  

6 0
3 years ago
1. Locate and label the following numbers on the number line:
n200080 [17]

Answer:

1/4 is your answer

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • Whats is a number smaller than 19 but has more factors than 21
    11·1 answer
  • I need help with this math problem please
    15·1 answer
  • According to a study done by a university​ student, the probability a randomly selected individual will not cover his or her mou
    7·1 answer
  • A scuba diver was at depth of -24 feet with respect to sea level. She swam down 12 more feet to look at a coral reef. Then she s
    5·1 answer
  • Could someone help me
    9·1 answer
  • (Absolute value inequalities) 50 points! <br><br> -6|4p+2|+8 &gt; -34
    12·2 answers
  • Xét sự đồng biến nghịch biến của hàm số sau<br> y=x^3-3x /(-∞;-1)
    7·1 answer
  • 15
    15·1 answer
  • What’s the correct answer for this ?
    10·2 answers
  • A=5 what is the value of 3a^2
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!