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Umnica [9.8K]
3 years ago
9

Quickest answer gets Brainliest

Mathematics
1 answer:
Zepler [3.9K]3 years ago
3 0

Answer:

(1.5, -2.5)

Step-by-step explanation:

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What is the solution set of the quadratic equation 8x2 +2x +1 =0?
Sidana [21]
   
\displaystyle\\
 8x^2 +2x +1 =0\\\\
x_{12}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}=\frac{-2\pm \sqrt{2^2-4\cdot 8 \cdot 1}}{2\cdot 8}=\\\\
=\frac{-2\pm \sqrt{4-32}}{16}=\frac{-2\pm \sqrt{-28}}{16}=\frac{-2\pm \sqrt{4\cdot 7\cdot(-1)}}{16}=\\\\
=\frac{-2\pm 2i\sqrt{7}}{16}=\frac{-1\pm i\sqrt{7}}{8}= -\frac{1}{8}\pm  \frac{\sqrt{7}}{8}i\\\\
x_1 =   \boxed{-\frac{1}{8}+  \frac{\sqrt{7}}{8}i}\\\\
x_2 =   \boxed{-\frac{1}{8}-  \frac{\sqrt{7}}{8}i}\\\\
x_1,~x_2~\in \mathbb{C}



4 0
3 years ago
To solve the equation x ^2 - 2x = 3 by the technique of completing the square, you would add 4 to each side of the equation as o
Karolina [17]

Answer:

x = -1

x = 3

Step-by-step explanation:

\sf x^2 - 2x = 3

Add 1 to both sides:

\sf \implies x^2 - 2x+1 = 3+1

Factor the left side:

\sf \implies (x-1)^2 = 4

Square root both sides:

\sf \implies x-1 = \pm2

Therefore:

\sf \implies x-1=-2 \implies x=-1

\sf \implies x-1=2 \implies x=3

6 0
2 years ago
Max is building a scale model of the solar system. In Max's model, the distance from Earth to the sun is 1.2 feet, and the dista
olya-2409 [2.1K]
(d1/d2)×d3=d4
d1=real distance 93million miles of earth
d2=model distance of earth
d3=model distance of Venus
d4= real distance in million miles of Venus

(93/1.2)×0.86= 66.65 million miles
4 0
3 years ago
5. A map is drawn to a scale of 3:750.
Ainat [17]

Answer:

23.1m

Step-by-step explanation:

we define x to be the actual distance, y to be the distance on map (y=15.4cm)

if the map scale is 3:750, then by definition of scaling, x and y must satisfy:

\frac{y}{x}  =  \frac{3}{750}  =  \frac{1}{150}

we isolate x:

x = 150 \times y = 150 \times 15.4 = 2310cm = 23.1m

7 0
2 years ago
How do you find the spread on a dot plot
amid [387]
The spread is the minimum value to the maximum value. The range is the maximum minus the minimum value hope that helps
5 0
3 years ago
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