The equation x ^ 4 + (2m + 1) x ^ 3 - (3m-3) x ^ 2 - (5m + 17) x + (6m + 14) = 0 has four solutions, and only two of them are equal, so we can find the value of M Sorry, it's x ^ 4 + (2m-1) x ^ 3 - (3m-3) x ^ 2 - (5m + 17) x + (6m + 14) = 0

The equation x ^ 4 + (2m + 1) x ^ 3 - (3m-3) x ^ 2 - (5m + 17) x + (6m + 14) = 0 has four solutions, and only two of them are equal, so we can find the value of M Sorry, it's x ^ 4 + (2m-1) x ^ 3 - (3m-3) x ^ 2 - (5m + 17) x + (6m + 14) = 0

The equation x ^ 4 + (2m-1) x & sup3; - (3m-3) x & sup2; - (5m + 17) x + (6m + 14) = 0 can be reduced to
(x-1)(x-2)[x²+2(m+1)x+(3m+7)]=0
When the original equation has four solutions and only two of them are equal, it is discussed in three cases
Let X & sup2; + 2 (M + 1) x + (3m + 7) = 0 be the equation (*),
① One solution of equation (*) is 1, and the other is neither 1 nor 2;
∵ equation (*) has a solution of 1,
1 & sup2; + 2 (M + 1) × 1 + (3m + 7) = 0, M = - 2,
Test: when m = - 2, the equation (*) is X & sup2; - 2x + 1 = 0 and has two equal real roots x = 1,
In this case, the original equation has four solutions, but three of them are 1, M = - 2 does not conform to the meaning of the problem, so it is omitted;
② One solution of the equation (*) is 2, and the other is neither 1 nor 2;
∵ equation (*) has a solution of 2,
2 & sup2; + 2 (M + 1) × 2 + (3m + 7) = 0, M = - 15 / 7,
Test: when m = - 15 / 7, the equation (*) is 7x & sup2; - 16x + 2 = 0,
There are two real roots x = 2 and x = 2 / 7,
At this time, the original equation has four solutions, but exactly two of them are 1, and the other two are x = 1 and x = 2 / 7 respectively,
The result shows that M = - 15 / 7 is consistent with the meaning of the question;
③ The equation (*) has two equal real roots and is neither 1 nor 2;
∵ the equation (*) has two equal real roots,
The discriminant 4 (M + 1) & sup2; - 4 (3m + 7) = 0,
So m = - 2, or M = 3,
Test: from (1) to (2), M = - 2;
When m = 3, the equation (*) is X & sup2; + 8x + 16 = 0 and has two equal real roots x = - 4,
At this time, the original equation has four solutions, but exactly two of them are - 4, and the other two are x = 1 and x = 2 respectively,
M = 3 is in accordance with the meaning of the question;
In conclusion, the value of M is - 15 / 7, or 3

If the odd function f (x) monotonically decreases on (- ∞, 0], then the solution set of the inequality f (lgx) + F (1) > 0 is______ ．

∵ the odd function f (x) monotonically decreases on (- ∞, 0]; f (x) monotonically decreases on [0, + ∞), that is, f (x) monotonically decreases on R. from F (lgx) + F (1) > 0, f (lgx) > - f (1) = f (- 1), ∵ lgx < - 1, the solution is 0 < x < 110, that is, the solution set of the inequality is (0110), so the answer is: (0110)

Equation 4.6 + x = 7.6 and A-X = 8.3 have the same solution. What is the value of a?
We need to solve it by equation

x=7.6-4.6
x=3
a-3=8.3
a=11.3

The center of the ellipse e is at the coordinate origin. The focus is on the coordinate axis. Through a (- 2,0), B (2,0), C (1,3 / 2) three points, find the equation of the ellipse E

1. When the focus is on the X axis, the equation is x ^ 2 / A ^ 2 + y ^ 2 / b ^ 2 = 1, where a = 2
Take C (1,3 / 2) and get B ^ 2 = 3
The equation is x ^ 2 / 4 + y ^ 2 / 3 = 1
2. When the focus is on the Y axis, the equation is y ^ 2 / 4 + x ^ 2 / 3 = 1

2x+4（360-x）=890

2x+4（360-x）=890
2x+1440-4x=890
2x=550
x=275

What degree of COS is equal to 0.555555
Who can tell me the exact angle,

arccos0.555555=56.25104969°
cos56.25104969°=0.555555

A number is more than 11 out of 12 and 7 out of 24

Let this fraction be x, then
X-12 / 11 = 24 / 7
X = 7 / 24 + 11 / 12
X = 7 / 24 + 22 / 24
X = 29 / 24
X = 1 and 5 / 24
A: the number is 1 and 9 / 24!
I understand. Please accept,
If you have any new questions, please ask for help,

One in 15 is equal to what part plus what part plus what part?

1/15=1/45+1/45+1/45

How to solve the equation of 4.86 / x + 1.56 = 21.56
o

4.86/x+1.56=21.56
The solution is 4.86 / x = 21.56-1.56
4.86/x=20
x=4.86/20=0.243

High school math experts, please come in
In order to make the function y = sinwx (W > 0) have at least 50 maximum values in the interval [0,1], what is the minimum value of W?

T = 2 Π / W can be obtained from the image: (sorry because the image cannot be displayed)
49T+1/4T≤1
Substituting into the solution: W ≥ 197 / 2 Π
So the minimum value of W is 197 / 2 Π