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jek_recluse [69]
2 years ago
14

Write the quadratic equation that has roots (-1-√2)/3 and (-1+√2)/3 , if it's coefficient with x^2 is equal to

Mathematics
1 answer:
MArishka [77]2 years ago
3 0

9514 1404 393

Answer:

  (a) x² +2/3x -1/9 = 0

  (b) 9x² +6x -1 = 0

Step-by-step explanation:

The product of quadratic factors can be expanded to give ...

  (x -p)(x -q) = x² -(p+q)x +pq

Then the coefficients of x² +bx +c = 0 will be ...

  b = -((-1-√2)/3 +(-1+√2)/3)) = 2/3

  c = ((-1-√2)/3)·((-1+√2)/3) = (-1/3)² -(√2/3)²) = 1/9 -2/9 = -1/9

a) The quadratic with leading coefficient 1 is ...

  x² +2/3x -1/9 = 0

__

b) Multiplying that by 9 gives ...

  9x² +6x -1 = 0

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-3|x+4|+16=7<br>two solutions​
DIA [1.3K]
-3|x+4|+16=7
-3|x+4|=7-16
-3|x+4|=-9
|x+4|=3
x+4=3
x+4=-3
x=-1
x=-7
X1=-7 X2=-1
3 0
3 years ago
A new Community Center is being built in Alston. The perimeter of the rectangular playing field is 308 yards. The length of the
Blababa [14]

Answer:

regtangular Angeles

Step-by-step explanation:

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4 0
3 years ago
Help please thank you!
ozzi
4x^2 + 16x-2= 5x
Minus 16x over

4x2-2= -11x

Add 11x over

4x^2 +11x -2

Use quadratic formula x= 2.9
I’m not sure here. I tried my best. Hope it helps!
8 0
3 years ago
Read 2 more answers
Can someone help please?
Katarina [22]

Answer:

g = 6

Step-by-step explanation:

<em>To find the slope you do:</em>

m = change in y ÷ change in x or (y2 - y1) ÷ (x2 - x1)

  • x1 = 4, y1 = -7
  • x2 = g, y2 = -3
  • m (the slope) = 2

<em>Sub in the values:</em>

2 = (-3 - -7) ÷ (g - 4) - we can simplify this

2 = (4) ÷ (g - 4)

4 divided by what gives us 2? 2. This means that g - 4 = 2, g = 2 + 4 which is 6:

g = 6

Hope this helps!

8 0
3 years ago
Read 2 more answers
There are 2121 students in a school. A PE teacher wants to arrange maximum possible number of students in the field such that th
kifflom [539]

Answer:

5 students are left out in the arrangement.

Step-by-step explanation:

If the number of rows = the number of columns  

Then there must be an equal arrangement

Since the total number of students in the school is 2121

Then, the students that are left out in this arrangement = 2121 - (√2121 X √2121

Note the result of the square root would only consider the whole number, the digits after the decimal point signifies the remaining number that can't fit into the arrangement

so, √2121 = 46.05 (so 46 would be used)

= 2121 - (46 X 46)

= 2121 - 2116 = 5

Therefore 5 students are left out in the arrangement.

5 0
3 years ago
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