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lesantik [10]
3 years ago
14

Form the quadratic equation whose one root is 2 + 2^(1/2)​

Mathematics
1 answer:
Oksanka [162]3 years ago
4 0

9514 1404 393

Answer:

  x^2 -4x +2 = 0

Step-by-step explanation:

The other root is the conjugate of the given one, so is 2-√2. The quadratic equation in factored form is then ...

  (x -2-√2)(x -2+√2) = 0

Expanding this, we get ...

  (x -2)^2 -(√2)^2 = 0

  x^2 -4x +4 -2 = 0

  x^2 -4x +2 = 0 . . . . the equation you're looking for

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What is the value of x in the equation 2(x+3)=4(x-1)
Nina [5.8K]
Firstly, expand the equation.
2(x + 3) = 4(x - 1) \\ 2x + 6 = 4x - 4

Next, move the variable x to the left and all the constant to the right.
2x + 6 = 4x - 4 \\ 2x - 4x =  - 4 - 6 \\  - 2x =  - 10

Then, solve for x.
- 2x =  - 10 \\ x =  \frac{ - 10}{ - 2}  \\ x = 5
5 0
3 years ago
<img src="https://tex.z-dn.net/?f=2x%2B4%2836-x%29" id="TexFormula1" title="2x+4(36-x)" alt="2x+4(36-x)" align="absmiddle" class
atroni [7]

Answer:

  • = 2x + (4 \times 36) - (4 \times x)
  • = 2x + 144 - 4x
  • = (2x - 4x) + 144
  • =  - 2x + 144
  • =  - 2(  x  - 72)

3 0
3 years ago
Read 2 more answers
Question 1 of 10
svet-max [94.6K]

Answer:

B

Step-by-step explanation:

Secant-secant with vertex outside the circle

1/2(larger-smaller arc)

1/2(114-36)

1/2(78)

39

5 0
3 years ago
Seriously need help working + answer
allsm [11]
This is the answer (−1.550510257)
6 0
3 years ago
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At a garden shop, a customer buys 5 geraniums and 4 lilies for $48. Another customer pays $58 for 4 geraniums and 6 lilies. Writ
masha68 [24]

Answer:

A lily costs $7 and a geranium $4.

Step-by-step explanation:

From the question, we can write two equations. let the number of lilies be l and the number of geraniums be g, then:

5 g + 4 l = 48

4 g + 6 l = 58

Multiply the first equation by 4 and the second by 5, the number of lilies in the other gives:

20 g + 16 l = 192

20 g + 30 l = 290

Subtract the first equation from the second gives:

14 l = 98  which dividing by 14 gives  l = 7

Substituting the value  l = 7  in the first equation gives:

5 g + 28 = 48

Subtract 20 from both sides gives:

5 g = 20  divide by 5 gives  g = 4

So, a lily costs $7 and a geranium costs $4.

7 0
2 years ago
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