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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

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9

Step-by-step explanation:

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What is the of mexico
Lapatulllka [165]

Answer:

<h3>The answer is: what</h3>

Step-by-step explanation:

It's simple really, once you start writing a sentence you gradually begin to formulate a thought that needs to be built upon with the end goal being an effective paragraph or piece of information.

If you take "mexico" in this context you will need to include a what, in order to make a who. by "who" you could mean what, but in reality it's likely that mexico can be, in this case a "what"

So, the answer we arrive to is "what"

8 0
3 years ago
A truck can be rented from Company A form ​$130 a day plus $0.30 per mile. Company B charges ​$50 a day plus $0.80 per mile to r
navik [9.2K]

Answer:

160 miles

Step-by-step explanation:

Company A form ​$130 a day plus $0.30 per mile

Company A = 130 + 0.30x

Company B charges ​$50 a day plus $0.80 per mile

Company B = 50 + 0.80x

Where,

x = number of miles

Equate the cost of company A and company B

130 + 0.30x = 50 + 0.80x

Collect like terms

130 - 50 = 0.80x - 0.30x

80 = 0.50x

Divide both sides by 0.50x

x = 80 / 0.50

= 160

x = 160 miles

The number of miles in a day at which the rental costs for Company A and Company B are the same is 160 miles

4 0
2 years ago
M is the midpoint of segment GR. G has coordinates (11,-5) and M is (4,-4) Find the coordinates of R
7nadin3 [17]

Answer:

  • (3, -3)

Step-by-step explanation:

<u>Given:</u>

  • G = (11,-5)
  • M = (4,-4)
  • R = ?

<u>Solution</u>

  • R(x, y)

<u>As per midpoint formula;</u>

  • 4 = (11 + x)/2  ⇒ x + 11 = 8 ⇒ x = 3
  • -4 = (-5 + y)/2 ⇒ y - 5 = -8 ⇒ y = -3
  • R = (3, -3)
4 0
3 years ago
Write the standard equation of the circle below.
s344n2d4d5 [400]

Answer:

The first answer is correct.

(x + 1)^2 + (y - 2)^2 = 1

A circle with the midpoint M(Mx, My) and the radius r can be written as

(x - Mx)^2 + (y - My)^2 = r^2


7 0
3 years ago
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