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olganol [36]
2 years ago
14

Solve x4 + x2 – 2 = 0.

Mathematics
1 answer:
Anna71 [15]2 years ago
8 0
X = 1/3
4x + 2x - 2 = 0
6x - 2 = 0
+2 +2
6x = 2
/6 /6

X = 1/3
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This question is easier than it seems. If there are 9 consecutive integers with the mean being 16, then 16 must be the median. So just add four on top and four below 16 to give you your range of 9 values, 12-20. 12+13+14+15+16+17+18+19+20=144, 144/9=16. So the mean of the first four numbers is (12+13+14+15)/4= 13.5. If you check, 13.5 is also the median of these four numbers.

 
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9/5

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() + -8= -6 what is the awnser
Mariana [72]

Answer:x=2

Step-by-step explanation:

change () to x

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For each circle equation shown below, state the coordinates of its center and the length of its radius. (a) 2 216x y (b)
gavmur [86]

Answer:

(a) center: (0, 0); radius: 4

(b) center: (8, -3); radius: 10

(c) center: (-2, -7); radius: 7

(d) center: (6, 0); radius: 1

(e) center: (0, 0); radius: 5

(f) center: (3, 8); radius: 8

Step-by-step explanation:

In the figure attached, the complete question is shown.

Equation of a circle with center (h, k) and radius r:

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8 0
3 years ago
A line and a circle intersect at the points A and B. Use the equations below to find the coordinates of the points of intersecti
Margaret [11]

Answer:

<h2>A(-2, 2) and B(6, 10)</h2>

Step-by-step explanation:

Given the equation of a line y = x + 4 and equation of a circle as

( x − 3 )² + ( y − 5 )² = 34, if the line and the circle intersect at points A and B, to get this points, we will substitute the equation of the line into that of the circle as shown;

We will have to expand the equation of the circle first before making the substitute.

( x − 3 )² + ( y − 5 )² = 34

x²-6x+9+y²-10y+25 = 34

x²+y²-6x+-10y+34-34 = 0

x²+y²-6x+-10y = 0

Substituting y = x+ 4 into the resulting expression;

x²+(x+4)²-6x+-10y = 0

x²+x²+8x+16-6x+-10(x+4) = 0

x²+x²+8x+16-6x+-10x-40 = 0

2x²-8x-24 = 0

x²-4x-12 = 0

(x²-6x)+(2x-12) = 0

x(x-6)+2(x-6) = 0

x+2 = 0 and x-6 = 0

x = -2 and 6

when x = -2;

y = -2+4

y = 2

when x = 6

y = 6+4

y = 10

The coordinates of the point of intersection are A(-2, 2) and B(6, 10).

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3 years ago
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