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luda_lava [24]
3 years ago
10

Solve the equation using the method of completing the square. 2x^2 + 16 - 8 = 0

Mathematics
2 answers:
Anna [14]3 years ago
6 0

Answer:

x=-4+-2 to the square root 5

Step-by-step explanation:1) Move the "non X" term to the right:

2x^2+16x-8=0 becomes

2x^2 +16x = +8

2) Divide the equation by the coefficient of X² which in this case is 2

x^2 + 8x = 4

3) Now here's the "completing the square" stage in which we:

    • take the coefficient of X  (which is 8)

    • divide it by 2  [8 / 2 = 4]

    • square that number  [4^2 = 16]

    • then add it to both sides of the equation.

x^2 + 8x  + 16 = 20

Take the square root of both sides of the equation:

x + 4 = sq root (20)

x = sq root (20) -4

x1 = 4.472135955 -4

x1 = .472135955

x2 = -4.472135955 -4

x2 = -8.472135955

mamaluj [8]3 years ago
3 0
is 12 ggggzhhdhsjshsbMjd zmesnmnr fs kn fs jxj
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<h3>Answer: 45/121</h3>

=========================================

Work Shown:

2 blue, 4 red, 5 green

2+4+5 = 11 total

P(blue) = probability of getting one blue marble

P(blue) = (number of blue)/(number total)

P(blue) = 2/11

A = P(2 blue) = (2/11)*(2/11) = 4/121

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B = P(2 red) = (4/11)*(4/11) = 16/121

P(green) = 5/11

C = P(2 green) = (5/11)*(5/11) = 25/121

Add the values of A,B, and C to get the probability of getting two of the same color

A+B+C = 4/121+16/121+25/121 = 45/121

This is approximately equal to 0.3719 which is roughly a 37.19% chance of happening

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___________________________Please help?
ludmilkaskok [199]

The expression 27x^{4} +15x^{3} +53x^{2} is called as <u>option d)</u> Quartic Trinomial.

<u>Step-by-step explanation:</u>

The given expression is 27x^{4} +15x^{3} +53x^{2} .

<u>To find the number of terms :</u>

  • one-term polynomial is called a monomial
  • two-term polynomial is called a binomial and
  • three-term polynomial is called a trinomial

"The number of terms in the expression is Three."

<u>The three terms are as follows :</u>

⇒ First term is 27x^{4}

⇒ Second term is 15x³

⇒ Third term is 53x²

Therefore, the given expression is called a "trinomial" with respect to the number of terms in it.

<u>To find the degree :</u>

The degree of a polynomial is the highest of the degrees of the individual terms in it with non-zero coefficients.

Here, in this expression  27x^{4} +15x^{3} +53x^{2} the highest degree is 4.

Fourth degree is known as "Quartic".

Now, combining the number of terms and degree in the given expression, it is known as "Quartic Trinomial" which is option D).

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