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Butoxors [25]
3 years ago
10

X^2 + 2x + 8 find the solution

Mathematics
1 answer:
Lina20 [59]3 years ago
4 0

x^2 + 2x + 8

First, we'll try using the AC method.

(Because the degree of the quadratic is 2, there are two solutions.)

We cannot split the term using the AC method.

We'll instead use the quadratic formula.

\frac{-b +/- \sqrt{b^2 - 4ac} }{2a}

Plug in values.

(-2 +/- √4 - 32)/2

(-2 +/- √-28)/2

(-2 +/- i√28)/2

(-2 +/- 2i√7)/2

(-1 +/- i√7)

<h3>x = (-1 + i√7)</h3><h3>x = (-1 - i√7)</h3><h3>The two values of x are found.</h3>
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Show that cos2x=cosx
PSYCHO15rus [73]

cos (2x) = cos x

2 cos^2 x -1 = cos x   using the double angle formula

2 cos ^2 x -cos x -1 =0

factor

(2 cos x+1) ( cos x -1) = 0

using the zero product property

2 cos x+1 =0    cos x -1 =0

2 cos x = -1       cos x =1

cos x = -1/2       cos x=1

taking the arccos of each side

arccos cos x = arccos (-1/2)         arccos cos x = arccos 1

x = 120 degrees   x=-120   degrees           x=0

remember you get 2 values ( 2nd and 3rd quadrant)

these are the principal values

now we need to add 360

x = 120+ 360n      x=-120+ 360n      x = 0 + 360n  where n is an integer


3 0
3 years ago
5. What is an equation of the line in slope-intercept form?
777dan777 [17]

Answer:

y = (2/7)x -12

Step-by-step explanation:

y = mx + b is the standard form of an equation of a straight line in which m is the slope and b is the y-intercept (the value of y when x is zero)..

<u>m</u>=(2/7) and <u>b</u> = -12

y =   <u>m</u>x  + <u>b</u>

y = (<u>2/7</u>)x <u>-12</u>

8 0
3 years ago
(2+2w)⋅4+9(w+3) please answer this I am very confused
defon

Answer:

17w+35

Step-by-step explanation:

(2+2w)⋅4+9(w+3)

Distribute the 4  and the 9

2*4 + 2w*4 +9*w+9*3

8+8w +9w +27

Combine like terms

8w+9w +8+27

17w +35

8 0
3 years ago
Read 2 more answers
Evaluate t Divided 3/4 for T equal 9 3/4
Molodets [167]
T / 3/4 ; t = 9 3/4

9 3/4 / 3/4

9 3/4 = 39/4

39/4 / 3/4
39/4 x 4/3
39 x 4 = 156
4 x 3 = 12
156/12 / 4/4 = 39/3 = 13
7 0
3 years ago
Here is the third problem:)
lesya [120]

Answer:

15.0

Step-by-step explanation:

we are finidng the adjacent angle, they have given us the opposite and the missing adjacent side so we use tan

tan25=7/x

since x is at the bottom then switch

x= 7/tan25

x= 15. 012

6 0
3 years ago
Read 2 more answers
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