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tino4ka555 [31]
3 years ago
6

Okie hat are the solutions of X^2-2x+5=0

Mathematics
1 answer:
pashok25 [27]3 years ago
5 0
The solution of are 1 + 2i and 1 – 2i
Solution:
Given, equation is
We have to find the roots of the given quadratic equation
Now, let us use the quadratic formula
--- (1)
Let us determine the nature of roots:
Here in a = 1 ; b = -2 ; c = 5

Since , the roots obtained will be complex conjugates.
Now plug in values in eqn 1, we get,

On solving we get,



we know that square root of -1 is "i" which is a complex number

Hence, the roots of the given quadratic equation are 1 + 2i and 1 – 2i
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Which number(s) below belong to the solution set of the inequality? Check all that apply.
ValentinkaMS [17]
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Is the number given a solution to the equation?<br> c = 2c - 4; 8
Sveta_85 [38]
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Assume we cut the last piece of the pie into two sections (1 and 2) along ray BD
earnstyle [38]

Answer:

If we want the greatest portion of pie, then you must choose the section with the greatest angle. Therefore, we must choose Section 2. But if we want the smallest portion of pie, then we must choose Section 1.

Step-by-step explanation:

From statement, we know that measure of the angle ABC is equal to the sum of measures of angles ABD (<em>section 1</em>) and DBC (<em>section 2</em>), that is to say:

m \angle ABC = m\angle ABD + m\angle DBC (1)

If we know that m\angle ABC = 40^{\circ}, m\angle ABD = 2\cdot x + 3 and m\angle DBC = 4\cdot x + 7, then the value of x is:

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6\cdot x +10^{\circ} = 40^{\circ}

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Then, we check the angles of each section:

Section 1

m\angle ABD = 2\cdot x + 3

m\angle ABD = 13^{\circ}

Section 2

m\angle DBC = 4\cdot x + 7

m\angle DBC = 27^{\circ}

If we want the greatest portion of pie, then you must choose the section with the greatest angle. Therefore, we must choose Section 2. But if we want the smallest portion of pie, then we must choose Section 1.

6 0
3 years ago
A restaurant is at 75 percent capacity with 120 patrons. How many people are in the restaurant when it is 100 percent capacity?
Goryan [66]
There would be 160 people.

(.75)=(120)
(.25)=(40)                            (Divide by 3)
(1)=(160)                               (Multiply by 4)
6 0
3 years ago
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