If two equations x2 + ax + B = 0 and X2 + BX + a = 0 have a unique common solution, then a + B =?

If two equations x2 + ax + B = 0 and X2 + BX + a = 0 have a unique common solution, then a + B =?

If two equations X & sup2; + ax + B = 0 and X & sup2; + BX + a = 0 have a unique common solution, then a + B =?
ax+b-bx-a=0
(a-b)x+(a-b)=0
(a-b)(x-1)=0
So x = 1
So x & sup2; + ax + B = 0
1+a+b=0
That is a + B = - 1

The sum of 5 m + 2 N + 2 times 3 times y of 5 x and 6 times 3 m-2 n-1 times y of - 3 x is a monomial formula
How many times is n subtracted in 2012?

5m + 2n + 2 = 6 3m-2n-1 = 3 M = 1 N = - 0.5 the result is one sixth to the power of 2012

(2m + 3) x ^ 2Y ^ n + 1 is a quintic binomial with the coefficient 1 of X and Y. find the value of M-N ^ 2

Analysis: according to the definition of the coefficient and degree of the monomial, the equations of M and N are listed, and the values of M and N can be obtained by solving the equations. The number factor in the monomial is called the coefficient of the monomial, and the sum of the exponents of all letters is called the degree of the monomial. From the meaning of the question, we get 2m + 3 = 1, 2 + N + 1 = 5, and the solution is m = 1, n = 2. That is, M = - 1, n = 2. M-N ^ 2 = - 1-4 = - 5

-The formula answers of 3x & # 178; + 5x-5x & # 178; + X-1~

This is the calculation of merging similar terms - 3x & # 178; + 5x-5x & # 178; + X-1
=(-3-5)x²+(5+1)x-1
=-8x²+6x-1

There are 91 books of literature, art and science and technology in the library. 25% of the books of literature and art are equal to two fifths of the books of science and technology
Explain the process of each step

First of all, let me help you sort out the equivalent relationship
Literature and art book × 0.25 = science and technology book × 0.4
That is equal to 1.6 times of literature and art books + literature and art books = 91
91÷（1.6+1）=35
This 35 is a Book of literature and art, because you use the total number of 2.6, this 2.6 is 2.6 times of the book of literature and art, so 35 is a Book of literature and art
91-35 = 56 (Science and technology book)
A: 56 science and technology books and 35 literature and art books

The library bought 240 science and technology books, two fifths less than the literature and art books. How many of these two books?

240 divided by (1-two fifths) + 240
Make sure you come to me

When Xiao Hua solved the equation 4m-3x = 8 (x is an unknown number), he mistakenly regarded - 3x as 3x and got the solution of the equation as 4. He asked for the solution of the original equation

That is, the solution of 4m + 3x = 8 is x = 4
So 4m + 12 = 8
4m=-4
m=-1
So the equation is - 4-3x = 8
3x=-12
x=-4

4 / 3x-60x = 2.3 solution

0.75x-0.6x=2.3
0.15x=2.3
3x/20=23/10
x=46/3

3x-0.52 = 2.7 + X to solve the equation

3x-0.52＝2.7+x
3X-X=2.7+0.52
2X=3.22
X=3.22÷2
X=1.61

Solution equation: 5x + (3x + 200) = 3000

8x=3000-200
8x=2800
x=2800/8
x=350