Given the function f (x) = sin2x + acosx-1 / 2a-3 / 2, X ∈ R, if the maximum value of F (x) is 1, find the range of real number a. the first sin2x is the second power of SiNx

Given the function f (x) = sin2x + acosx-1 / 2a-3 / 2, X ∈ R, if the maximum value of F (x) is 1, find the range of real number a. the first sin2x is the second power of SiNx

Let t = cosx, (- 1 ≤ t ≤ 1), then f (T) = - T & # 178; + at-a / 2-1 / 2, which is a parabola with opening downward, and its axis of symmetry is t = A / 2. Then we can classify it as follows: 1. If the axis of symmetry is between interval [- 1,1] (including boundary), that is, a / 2 ∈ [- 1,1], a ∈ [- 2,2]; then the maximum value of function is f (A / 2) = A & # 1

Known function f (x) = SiNx + acosx is a zero point of three quarters, to find the value of real number a, please

Bring in coordinates (3 / 4 π, 0)

A project will be completed in 4 days by Party A alone, 8 days by Party B alone, 1 day by Party A, and X days by two people in cooperation?

This kind of topic generally assumes the project quantity is 1, then a day may complete 1 / 4, b day may complete 1 / 8, may obtain according to the topic meaning
1/4+（1/4+1/8）X=1
The solution is x = 2

An equation problem, hope to solve! Quick
We planted 4 rows of poplars, X trees in each row, and 18 willows. We planted 46 trees (using the equation) to solve the problem

4x+18=46
Solution 4x = 28
x=7

Y = 2x-7 5x + 3Y + 2Z = 2 3x-4z = 4! Quick

Y=2X-7 ①
5X+3Y+2Z=2 ②
3X-4Z=4 ③
From 3, z = 3 / 4x-1 4
Substituting (1) and (4) into (2) gives x = 2,
Substitute x = 2 into (1) and (4)
y=-3,z=0.5,
So x = 2, y = - 3, z = 0.5

2x-5y = - 11,7x + 4Z = 5,5x + 2Z = 2. Equation 1 3x-y + Z = 4,2x + 3y-2z = 12,3x + 2Y = 66. Equation 2. Solve these two equations

The solutions of 2x-5y = - 11; 7x + 4Z = 5; 5x + 2Z = 2 are x = - 1 / 3; y = - 31 / 13; Z = - 11 / 6
The solutions of 3x-y = 4; 2x + 3y-2z = 12; 3x + 2Y = 66 are x = 74 / 9; y = 62 / 3; Z = 256 / 9

Please help me solve an equation; (thank you, speed!) 700000 + X / 10-0.7 = 5x
Please help me solve an equation; (thank you, speed!)
700000+X/10-0.7=5X
(don't omit, detailed)

7000000+X-7=50X
49X=6999993
X=142857

20-5x = 4.5, speed!

20 - 5x = 4.5
5x = 15.5
x = 3.1

4.5x+2=15.

4.5x+2=15.5
4.5x=15.5-2
4.5x=13.5
x=13.5÷4.5
x=3

How to solve the equation 4x + 0.5x = 3.6?

4x+0.5x=3.6
The first merging congener x (4 + 0.5) = 3.6
4.5x=3.6
Divide both sides by 4.5 x = 3.6 / 4.5
x=0.8