How to find the formula of midpoint and radius in the equation of circle x ^ 2 + y ^ 2 + DX + ex = k X ^ 2 + y ^ 2 + DX + ex = k, how to find the formula of the center and radius of a circle

How to find the formula of midpoint and radius in the equation of circle x ^ 2 + y ^ 2 + DX + ex = k X ^ 2 + y ^ 2 + DX + ex = k, how to find the formula of the center and radius of a circle

The center of the circle is (- D / 2, - E / 2), and the radius is: 1 / 2 times d ^ 2 + e ^ 2 + 4K under the root sign

Find the center coordinates and radius length of the circle represented by the following equations
(1)x^2+y^2-2x-5=0
(2)x^2+y^2+2x-4y-4=0
(3)x^+y^2+2ax=0
(4)x^2+y^2-2by-2b^2=0

(1) X ^ 2 + y ^ 2-2x-5 = 0, i.e. (x-1) ^ 2 + y ^ 2 = 6, radius of center coordinate (1,0) is root sign 6 (2) x ^ 2 + y ^ 2 + 2x-4y-4 = 0, i.e. (x + 1) ^ 2 + (Y-2) ^ 2 = 9, radius of center coordinate (- 1,2) is 3 (3) x ^ + y ^ 2 + 2aX = 0, i.e. (x + a) ^ 2 + y ^ 2 = a ^ 2, radius of center coordinate (- A, 0) is | a | (4) x ^ 2 + y ^ 2-2by

Find the center coordinates and radius length of the circle represented by the following equations
What's wrong with it,
(1) X & sup2; + Y & sup2; - 2ax-2 √ 3ay (ay is not in the root) + 3A & sup2; = 0
(2)x²+y²+2x-4y-4=0
I know the answer, Baidu knows that there are two questions above. I know how to look at the radius coordinates, but I don't know how to turn these equations into what we want
For example, the second equation turns into:
(x^2+2x+1)+(y^2-4y+4)=4+1+4
(x+1)^2+(y-2)^2=9
Why do you want + 1 and + 4 on both sides of the equation? I really don't understand. I hope that the more detailed the explanation, the better

Knowledge points: 1. Sum of squares formula (a + b) ^ 2 = a ^ 2 + B ^ 2 + 2Ab (learn to use inversely) 2. Equation of circle: (x + a) ^ 2 + (y + b) ^ 2 = R ^ 2 Center (a, b), radius r topic 1: X & sup2; + Y & sup2; - 2ax-2 √ 3ay + 3A & sup2; = 0 (x ^ 2-2ax) + (y ^ 2-2 √ 3ay) + 3A ^ 2 = 0 (x ^ 2-2ax + A ^ 2) + (y ^ 2-2 √ 3ay + (√ 3A)

I don't like meat. I like fruit

I like fruit,but I don't like meat.

It is known that the hypotenuse of a right triangle is 2 larger than its straight angle, and the length of the other right triangle is 6?

Length of hypotenuse side 8
Let a right edge be x, then (x = 2) & sup2; = 6 & sup2; + X & sup2;
x²+4x+4=36+x²
4x=32
x=8

Do all adjectives have antonyms?
As the title

Not all words have antonyms. There are more antonyms in adjectives, followed by verbs and nouns. Also, if a word has several meanings, it may have several different antonyms. For example, "against" can have "support", "support", "support", and "old" can have "small", "little", "new", "young", "tender", etc, If you want to express their negative situation, you can add negative words in front of them. For example, "discuss" has no antonym, so you can say "don't discuss". Proper use of antonyms can give people a distinct impression and express the characteristics of things more fully. However, you should also pay attention to that inaccurate use will lead to problems, such as "we should develop our strengths and avoid our weaknesses, At the same time, we should learn from other people's advantages and overcome our own mistakes

In △ ABC, the side lengths of ∠ a, B and C are a, B and C respectively. Let a, B and C satisfy the conditions B2 + C2 BC = A2 and CB = 12 + 3, then the values of ∠ A and tanb are obtained

From B2 + C2 BC = A2, according to the cosine theorem, we get cosa = B2 + C2 − a22bc = bc2bc = 12 ＞ 0, then ∠ a = 60 °; therefore, in △ ABC, ∠ C = 180 °～ a - ∠ B = 120 °～ B. by using the sine theorem 12 + 3 = CB = sincsinb = sin (120 °− b) SINB = sin120 ° CoSb − cos120 ° sinbsinb = 32cotb + 12, we get cotb = 2, thus tanb = 12. So ∠ a = 60 ° and tanb = 12

About the verb ing and the usage of a?
1 Kwanzza is a seven-day festival celebrating the culture and the history of African Americans.
Why use the form of cellbrat?
2 African Americans have a long history and a rich culture.
Why do you want to add a before long history, rich culture?

1. Celebrating is the form of verb ing, which is used as the postpositive attribute to modify Festival
2. There are adjectives in front of history and culture, which is a specific period of history and a culture

Who has the key point of the introduction to the basic principles of Marxism

Introduction to the basic principles of Marxism review materials of higher education press 1. (simple) from different angles to explain and answer Marxism: 1. From its creator, successor's understanding of the results, Marxism was founded by Marx and Engels, and by its various times, all nationalities of Marxism

High school polar coordinate math problems
In this coordinate system, the polar coordinates of the center of the circle P = - 2sinx are
A(1,π/2) B(1,-π/2)
C.(1,0) D.(1,π)

B. The two sides of P = - 2sinx are multiplied by P to get p ^ 2 = - 2psinx, that is, x ^ 2 + y ^ 2 = - 2Y center coordinates (0, - 1) in polar coordinates is (1, - π / 2)