The minimum value of function f (x) = the square of 2x + (x-1) | X-1 |

The minimum value of function f (x) = the square of 2x + (x-1) | X-1 |

① When x > = 1
f(x)=2x^2+(x-1)^2=2x^2+x^2+1-2x
=3x^2-2x+1
=3(x^2-2/3x+(2/6)^2-(2/6)^2)+1
=3(x-2/6)^2+2/3
Because x > = 1
So the minimum is
f(1)=2
② When x

If the minimum value of function f (x) = (2x square - a square x + a) LNX is 0, then a=

A:
f(x)=(2x²-a²x+a)lnx,x>0
F (x) = (2x & # 178; - A & # 178; X + a) LNX > = 0
When x = 1, f (x) = 0
So:
1）0

4 6 7 8 is equal to 24
There are three answers

(4 + 6 - 7) × 8＝24
4×6÷（8-7）＝24

Given a = x & sup2; - 3x + 2, B = 3-4x-x & sup2;, C = 2 + x-2x & sup2; find a-2b-3c
I'm in a hurry. I'll go to bed soon. Come on

A-2B-3C
=x²-3x+2-2(3-4x-x²)-3(2+x-2x²)
=x²-3x+2-6+8x+2x²-6-3x+6x²
=9x²+2x-10

Li Qiang read a story book. On the first day, he read 25 pages. On the second day, he read 14 pages of the book. There are 62 pages left. So what page should Li Qiang start reading on the third day?

Suppose there are x pages in this book. From the title, we get x-25-14x = 62, & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; 34x = 87, x = 116116-62 = 54, 54 + 1 = 55. A: Li Qiang should start reading page 55 on the third day

Given that the lengths of the two sides of a triangle are 4 and 5 respectively, and the cosine of their angle is the root of the equation 2x2 + 3x-2 = 0, then the length of the third side is ()
A. 20B. 21C. 22D. 61

Solve the equation 2x2 + 3x-2 = 0 to get x = - 2, or x = 12 ∵ the cosine of the angle θ between the two sides of the triangle is the root of the equation 2x2 + 3x-2 = 0, so cos θ = 12, then the length of the third side is 42 + 52 − 2.4.5.12 = 21, so choose B

It takes five hours for the car to go from a to B. how many parts of the way is it in one hour, three hours?

It takes five hours for the car to go from a to B, one hour for one fifth of the road, and three hours for three fifths of the road

If a is a positive number, what number does - a represent? If a is negative, what does - a mean? Apart from positive and negative numbers, which rational numbers can a represent?

(1) ∵ A is a positive number, ∵ a > 0, ∵ - a < 0, that is - A is a negative number. (2) ∵ A is a negative number, ∵ a < 0, ∵ - a > 0, and - A represents a positive number. (3) according to the classification of rational numbers, the letter a can represent not only a positive number and a negative number, but also a rational number 0

Some aircraft carriers are equipped with ejection systems to help the aircraft take off. It is known that a fighter can produce an acceleration of 10m / S2 when accelerating on the runway, and the take-off speed is 50M / s. if the aircraft is required to taxi 105m before taking off, what initial speed should the ejection system make the aircraft obtain

20 meters per second
However, the carrier based aircraft does not take off as you think. At the same time of ejection, the engine power of the aircraft should be maximized, and after ejection, the aircraft will fly out, and there will be no more 105 meters to accelerate
The take-off speed is not as fast as 50 meters per second, so it would have fallen into the sea long ago. Now the minimum take-off speed of carrier based aircraft is more than 70 meters per second (Su-33), and the take-off speed by ejection is more than 83 meters per second

The difference between one sixth of a number and three is equal to the largest one digit. To find the number is a series equation

x/6-3=9;x=72